Multiple ChoiceFactor out the Greatest Common Factor in the polynomial.4x2y−100y4x^2y-100y4x2y−100y328views3rank2comments
Multiple ChoiceFactor out the Greatest Common Factor in the polynomial.−3x4+12x3−18x2-3x^4+12x^3-18x^2−3x4+12x3−18x2244views10rank1comments
Multiple ChoiceFactor the polynomial by grouping −x2−5x+7x+35-x^2-5x+7x+35−x2−5x+7x+35234views7rank1comments
Multiple ChoiceFactor the polynomial by grouping. 6x3−2x2+3x−16x^3-2x^2+3x-16x3−2x2+3x−1237views4rank1comments
Multiple ChoiceFactor the polynomial using special product formulas. 25x2−110x+12125x^2-110x+12125x2−110x+121202views8rank
Multiple ChoiceFactor the polynomial using special product formulas. x249−9\frac{x^2}{49}-949x2−9202views4rank
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. x² - 4180views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x³ − 16x179views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² + 8x + 12207views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² + 9x + 20175views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. x³ + 5x²181views
Textbook QuestionWork each problem. Match each polynomial in Column I with its factored form in Column II. a. x^2 + 10xy +25y^2 b. x^2-10xy +25y^2 c.x^2-25y^2 d. 25y^2-x^2 A. (x+5y ) (x-5y) B. (x+5y)^2 C. (x-5y)^2 D. (5y+x)(5y-x)356views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x²y − 16y + 32 − 2x²183views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. y² + 10y + 16160views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 12x⁴ − 8x²248views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. 36x² - 49y²201views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 4a²b − 2ab − 30b186views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − 8x + 15158views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 32x⁴ + 2x³ + 8x²168views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. x²y² - 1176views
Textbook QuestionWork each problem. Which of the following is the correct complete factorization of x^4-1? A. (x^2-1)(x^2+1) B.(x^2+1)(x+1)(x-1) C. (x^2-1)^2 D. (x-1)^2(x+1)^2288views
Textbook QuestionWork each problem. Which of the following is the correct factorization of x^3+8? A. (x+2)^3 B. (x+2)(x^2+2x+4) C. (x+2)(x^2-2x+4) D. (x+2)(x^2-4x+4)273views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. y² − 12y + 20165views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 4x²y³ + 6xy160views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. 9x⁴ - 25y⁶162views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 12m+60494views
Textbook QuestionExpress the distance between the numbers -17 and 4 using absolute value. Then evaluate the absolute value.362views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. a² + 5a − 14187views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 30x²y³ − 10xy²205views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. x¹⁴ - y⁴159views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 8k^3+24k319views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 11x⁵ − 11xy²174views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² + x − 30163views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 12xy − 6xz + 4xw175views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. (x - 3)² - y²169views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. xy-5xy^2356views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 4x⁵ − 64x191views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 5h^2j+hj243views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. -4p^3q^4-2p^2q^5422views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. a² - (b - 2)²164views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x³ − 4x² − 9x + 36166views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. x^2+8x+15359views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 2x⁵ + 54x²169views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − x + 7162views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 15x²ⁿ − 25xⁿ162views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 2(a+b)+4m(a+b)399views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. x^2−14x+45324views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 6x(a+b)-4y(a+b)369views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. 2x³ - 8x155views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. (5r-6)(r+3)-(2r-1)(r+3)471views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − 9xy + 14y²152views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −4x + 12174views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. (4z-5)(3z-2)-(3z-9)(3z-2)781views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 2x^2+5x−3293views
Textbook QuestionIn Exercises 23–34, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. 24. x² + 4x179views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 2(m-1)-3(m-1)^2+2(m-1)^3396views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. 50 - 2y²182views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − xy − 30y²171views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −8x − 48168views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x² − 12x + 36 − 49y²199views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 5(a+3)^3-2(a+3)+(a+3)^2263views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 6x^2−11x+4278views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. 8x² - 8y²160views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² + xy + y²165views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −2x² + 6x − 14162views
Textbook QuestionConcept Check When directed to completely factor the polynomial 4x^2y^5-8xy^3,a student wrote 2xy^3(2xy^2-4). When the teacher did not give him full credit, he complained because when his answer is multiplied out, the result is the original polynomial. Give the correct answer.271views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 4x² + 25y²176views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − xy + y²168views
Textbook QuestionConcept Check Kurt factored 16a^2-40a-6a+15 by grouping and obtained (8a-3)(2a-5). Callie factored the same polynomial and gave an answer of (3-8a)(5-2a). Which answer is correct?310views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −5y² + 40x171views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 12x³y − 12xy³182views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. a² − 18ab + 45b²159views
Textbook QuestionIn Exercises 23–34, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. 30. x² - 1/3x203views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −4x³ + 32x² − 20x174views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 6bx² + 6by²170views
Textbook QuestionIn Exercises 23–34, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. 32. x²+4/5x184views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −x² − 7x + 5163views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x⁴ − xy³ + x³y − y⁴159views
Textbook QuestionIn Exercises 23–34, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. 34. x²-9/5x197views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x² − 4a² + 12x + 36183views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. 8x² + 8y²192views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. x² + 25y²180views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 6x^2−7xy−5y^2276views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. x⁴ - 16176views
Textbook QuestionIn Exercises 35–44, factor the greatest common binomial factor from each polynomial. 3x(x+y) − (x+y)182views
Textbook QuestionIn Exercises 35–44, factor the greatest common binomial factor from each polynomial. 4x²(3x−1) + 3x − 1192views
Textbook QuestionA rigid bar (negligible mass) of length 80 cm connects a large sphere with a mass (m1) of 25 g to a small sphere with an unknown mass (m2). The large sphere is located at one end of the bar, with the center of mass of the bar located 22 cm away from this sphere. Determine the mass of the sphere (in grams) at the other end of the bar.184views
Textbook QuestionIn Exercises 39–44, factor by introducing an appropriate substitution. x⁴ − 4x² − 5163views
Textbook QuestionIn Exercises 35–44, factor the greatest common binomial factor from each polynomial. (x + 2)(x + 3) + (x − 1)(x + 3)229views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x² + 10x − y² + 25172views
Textbook QuestionIn Exercises 39–44, factor by introducing an appropriate substitution. (x + 1)² + 8(x + 1) + 7 (Let u = x+1.)187views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x⁸ − y⁸203views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. x³ + 3x² - 4x - 12201views
Textbook QuestionIn Exercises 45–68, use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. 2x² + 9x + 7173views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x³y − 16xy³183views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. x³ - 7x² - x + 7181views
Textbook QuestionIn Exercises 45–68, use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. 5x² − 16x + 3179views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x + 8x⁴167views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. x² + 4x + 4263views
Textbook QuestionFactor each trinomial, if possible. See Examples 3 and 4. 24a^4+10a^3b-4a^2b^2415views
Textbook QuestionIn Exercises 45–68, use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. 5y² + 33y − 14156views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 16y² − 4y − 2161views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. x² − 10x + 25177views
Textbook QuestionIn Exercises 45–68, use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. 8y² + 10y + 3157views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. x⁴ − 4x² + 4184views
Textbook QuestionIn Exercises 45–68, use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. 6x² + 19x + 15161views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. 9y² + 6y + 1252views
Textbook QuestionIn Exercises 45–68, use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. 4x² − 27x + 18168views
Textbook QuestionFactor each trinomial, if possible. See Examples 3 and 4. (a-3b)^2-6(a-3b)+9430views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. 64y² − 16y + 1212views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 12x³ + 3xy²191views
Textbook QuestionIn Exercises 45–68, use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. 16y² − 6y − 27174views
Textbook QuestionIn Exercises 57–64, factor using the formula for the sum or difference of two cubes. x^3+64440views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. x² − 12xy + 36y²180views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x⁶y⁶ − x³y³168views
Textbook QuestionIn Exercises 57–64, factor using the formula for the sum or difference of two cubes. x^3−27457views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. (x + 5)(x − 3) + (x + 5)(x − 7)164views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. 9x² + 48xy + 64y²169views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. a²(x − y) + 4(y − x)181views
Textbook QuestionIn Exercises 57–64, factor using the formula for the sum or difference of two cubes. 8x^3+125285views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. (c + d)⁴ − 1167views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 5x^3−45x282views
Textbook QuestionIn Exercises 45–68, use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. 15x² + 111xy − 14y²213views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. p³ − pq² + p²q − q³195views
Textbook QuestionIn Exercises 45–68, use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. 15a² − ab − 6b²177views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 2x^4−162268views
Textbook QuestionIn Exercises 65–74, factor by grouping to obtain the difference of two squares. 9x^2 − 30x + 25 − 36x^4185views
Textbook QuestionIn Exercises 65–74, factor by grouping to obtain the difference of two squares. x⁴ − x² − 2x − 1162views
Textbook QuestionIn Exercises 65–74, factor by grouping to obtain the difference of two squares. z² − x² + 4xy − 4y²176views
Textbook QuestionIn Exercises 75–94, factor using the formula for the sum or difference of two cubes. x³ + 64210views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 9x^3−9x266views
Textbook QuestionIn Exercises 75–94, factor using the formula for the sum or difference of two cubes. x³ − 27169views
Textbook QuestionIn Exercises 75–94, factor using the formula for the sum or difference of two cubes. 8y³ + 1187views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. x^3+2x^2−4x−8253views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 20y^4−45y^2385views
Textbook QuestionIn Exercises 83–92, factor by introducing an appropriate substitution. 5x⁴ + 2x² − 3176views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. x^2−10x+25−36y^2277views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. x^2 y−16y+32−2x^2345views
Textbook QuestionIn Exercises 83–92, factor by introducing an appropriate substitution. 3(x+1)² − 5(x+1) + 2 (Let u = x+1)312views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 2x^3−8a^2 x+24x^2+72x279views
Textbook QuestionIn Exercises 83–92, factor by introducing an appropriate substitution. 3(x−2)² − 5(x−2) − 2179views
Textbook QuestionIn Exercises 75–94, factor using the formula for the sum or difference of two cubes. (x − y)³ − y³173views
Textbook QuestionIn Exercises 93–102, factor and simplify each algebraic expression. (x+5)^−1/2−(x+5)^−3/2275views
Textbook QuestionIn Exercises 93–102, factor and simplify each algebraic expression. −8(4x+3)^−2+10(5x+1)(4x+3)^−1180views
Textbook QuestionFactor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 4k^-1+k^-2288views
Textbook QuestionFactor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 9z^-1/2+2z^1/2303views
Textbook QuestionFactor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 3m^2/3-4m^-1/3413views
Textbook QuestionFactor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 6r^-2/3-5r^-5/3262views
Textbook QuestionFactor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. -4a^-2/5+16a^-7/5338views
Textbook QuestionFactor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. (3r+1)^-2/3+(3r+1)^1/3+(3r+1)^4/3381views
Textbook QuestionFactor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 2(3x+1)^-3/2+4(3x+1)^-1/2+6(3x+1)^1/2245views
Textbook QuestionFactor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 7(5t+3)^-5/3+14(5t+3)^-2/3-21(5t+3)^1/3323views
Textbook QuestionFactor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 6y^3(4y-1)^-3/7-8y^2(4y-1)^4/7+16y(4y-1)^11/7262views
Textbook QuestionFactor each polynomial over the set of rational number coefficients. 49x^2-1/25256views
Textbook QuestionIn Exercises 133–136, factor each polynomial completely. Assume that any variable exponents represent whole numbers. 36x²ⁿ − y²ⁿ172views
Textbook QuestionIn Exercises 133–136, factor each polynomial completely. Assume that any variable exponents represent whole numbers. x³ⁿ + y¹²ⁿ171views
Textbook QuestionFactor each polynomial over the set of rational number coefficients. (25/9)x^4-(9y^2)244views
Textbook QuestionFind all values of b or c that will make the polynomial a perfect square trinomial. 4z^2+bz+81391views
Textbook QuestionFind all values of b or c that will make the polynomial a perfect square trinomial. 100r^2-60r+c430views
Textbook QuestionFind all values of b or c that will make the polynomial a perfect square trinomial. 49x^2+70x+c268views
Textbook QuestionExercises 143–145 will help you prepare for the material covered in the next section. In each exercise, factor completely. 9b²x + 9b²y − 16x − 16y167views
Textbook QuestionExercises 177–179 will help you prepare for the material covered in the next section. Factor completely: x^3 + x^2 - 4x - 4.334views