Multiple ChoiceFactor out the Greatest Common Factor in the polynomial.4x2y−100y4x^2y-100y4x2y−100y313views3rank2comments
Multiple ChoiceFactor out the Greatest Common Factor in the polynomial.−3x4+12x3−18x2-3x^4+12x^3-18x^2−3x4+12x3−18x2236views10rank1comments
Multiple ChoiceFactor the polynomial by grouping −x2−5x+7x+35-x^2-5x+7x+35−x2−5x+7x+35224views7rank1comments
Multiple ChoiceFactor the polynomial by grouping. 6x3−2x2+3x−16x^3-2x^2+3x-16x3−2x2+3x−1228views4rank1comments
Multiple ChoiceFactor the polynomial using special product formulas. 25x2−110x+12125x^2-110x+12125x2−110x+121193views8rank
Multiple ChoiceFactor the polynomial using special product formulas. x249−9\frac{x^2}{49}-949x2−9195views4rank
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. x² - 4172views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x³ − 16x169views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² + 8x + 12198views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² + 9x + 20168views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. x³ + 5x²170views
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)347views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x²y − 16y + 32 − 2x²175views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. y² + 10y + 16153views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 12x⁴ − 8x²238views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. 36x² - 49y²194views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 4a²b − 2ab − 30b177views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − 8x + 15151views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 32x⁴ + 2x³ + 8x²163views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. x²y² - 1170views
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)^2279views
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)263views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. y² − 12y + 20159views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 4x²y³ + 6xy156views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. 9x⁴ - 25y⁶156views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 12m+60473views
Textbook QuestionExpress the distance between the numbers -17 and 4 using absolute value. Then evaluate the absolute value.346views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. a² + 5a − 14178views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 30x²y³ − 10xy²192views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. x¹⁴ - y⁴155views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 8k^3+24k308views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 11x⁵ − 11xy²163views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² + x − 30158views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 12xy − 6xz + 4xw171views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. (x - 3)² - y²163views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. xy-5xy^2348views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 4x⁵ − 64x184views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 5h^2j+hj233views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. -4p^3q^4-2p^2q^5415views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. a² - (b - 2)²159views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x³ − 4x² − 9x + 36160views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. x^2+8x+15350views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 2x⁵ + 54x²162views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − x + 7156views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 15x²ⁿ − 25xⁿ156views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 2(a+b)+4m(a+b)376views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. x^2−14x+45316views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 6x(a+b)-4y(a+b)359views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. 2x³ - 8x148views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. (5r-6)(r+3)-(2r-1)(r+3)451views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − 9xy + 14y²143views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −4x + 12170views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. (4z-5)(3z-2)-(3z-9)(3z-2)750views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 2x^2+5x−3284views
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 + 4x170views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 2(m-1)-3(m-1)^2+2(m-1)^3384views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. 50 - 2y²175views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − xy − 30y²160views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −8x − 48160views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x² − 12x + 36 − 49y²191views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 5(a+3)^3-2(a+3)+(a+3)^2254views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 6x^2−11x+4273views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. 8x² - 8y²155views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² + xy + y²158views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −2x² + 6x − 14155views
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.258views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 4x² + 25y²170views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − xy + y²162views
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?300views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −5y² + 40x163views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 12x³y − 12xy³172views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. a² − 18ab + 45b²152views
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 - 1/3x196views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −4x³ + 32x² − 20x165views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 6bx² + 6by²161views
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+4/5x178views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −x² − 7x + 5155views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x⁴ − xy³ + x³y − y⁴155views
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. x²-9/5x191views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x² − 4a² + 12x + 36178views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. 8x² + 8y²182views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. x² + 25y²171views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 6x^2−7xy−5y^2267views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. x⁴ - 16169views
Textbook QuestionIn Exercises 35–44, factor the greatest common binomial factor from each polynomial. 3x(x+y) − (x+y)173views
Textbook QuestionIn Exercises 35–44, factor the greatest common binomial factor from each polynomial. 4x²(3x−1) + 3x − 1185views
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.176views
Textbook QuestionIn Exercises 39–44, factor by introducing an appropriate substitution. x⁴ − 4x² − 5156views
Textbook QuestionIn Exercises 35–44, factor the greatest common binomial factor from each polynomial. (x + 2)(x + 3) + (x − 1)(x + 3)213views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x² + 10x − y² + 25165views
Textbook QuestionIn Exercises 39–44, factor by introducing an appropriate substitution. (x + 1)² + 8(x + 1) + 7 (Let u = x+1.)179views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x⁸ − y⁸195views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. x³ + 3x² - 4x - 12193views
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 + 7165views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x³y − 16xy³173views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. x³ - 7x² - x + 7176views
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 + 3174views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x + 8x⁴160views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. x² + 4x + 4252views
Textbook QuestionFactor each trinomial, if possible. See Examples 3 and 4. 24a^4+10a^3b-4a^2b^2400views
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 − 14149views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 16y² − 4y − 2154views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. x² − 10x + 25165views
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 + 3150views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. x⁴ − 4x² + 4176views
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 + 15155views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. 9y² + 6y + 1241views
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 + 18162views
Textbook QuestionFactor each trinomial, if possible. See Examples 3 and 4. (a-3b)^2-6(a-3b)+9415views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. 64y² − 16y + 1206views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 12x³ + 3xy²181views
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 − 27170views
Textbook QuestionIn Exercises 57–64, factor using the formula for the sum or difference of two cubes. x^3+64425views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. x² − 12xy + 36y²168views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x⁶y⁶ − x³y³158views
Textbook QuestionIn Exercises 57–64, factor using the formula for the sum or difference of two cubes. x^3−27441views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. (x + 5)(x − 3) + (x + 5)(x − 7)157views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. 9x² + 48xy + 64y²161views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. a²(x − y) + 4(y − x)174views
Textbook QuestionIn Exercises 57–64, factor using the formula for the sum or difference of two cubes. 8x^3+125279views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. (c + d)⁴ − 1160views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 5x^3−45x275views
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 − 14y²203views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. p³ − pq² + p²q − q³184views
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 − 6b²169views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 2x^4−162261views
Textbook QuestionIn Exercises 65–74, factor by grouping to obtain the difference of two squares. 9x^2 − 30x + 25 − 36x^4176views
Textbook QuestionIn Exercises 65–74, factor by grouping to obtain the difference of two squares. x⁴ − x² − 2x − 1156views
Textbook QuestionIn Exercises 65–74, factor by grouping to obtain the difference of two squares. z² − x² + 4xy − 4y²171views
Textbook QuestionIn Exercises 75–94, factor using the formula for the sum or difference of two cubes. x³ + 64203views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 9x^3−9x259views
Textbook QuestionIn Exercises 75–94, factor using the formula for the sum or difference of two cubes. x³ − 27160views
Textbook QuestionIn Exercises 75–94, factor using the formula for the sum or difference of two cubes. 8y³ + 1180views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. x^3+2x^2−4x−8244views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 20y^4−45y^2375views
Textbook QuestionIn Exercises 83–92, factor by introducing an appropriate substitution. 5x⁴ + 2x² − 3168views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. x^2−10x+25−36y^2268views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. x^2 y−16y+32−2x^2340views
Textbook QuestionIn Exercises 83–92, factor by introducing an appropriate substitution. 3(x+1)² − 5(x+1) + 2 (Let u = x+1)297views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 2x^3−8a^2 x+24x^2+72x273views
Textbook QuestionIn Exercises 83–92, factor by introducing an appropriate substitution. 3(x−2)² − 5(x−2) − 2174views
Textbook QuestionIn Exercises 75–94, factor using the formula for the sum or difference of two cubes. (x − y)³ − y³165views
Textbook QuestionIn Exercises 93–102, factor and simplify each algebraic expression. (x+5)^−1/2−(x+5)^−3/2266views
Textbook QuestionIn Exercises 93–102, factor and simplify each algebraic expression. −8(4x+3)^−2+10(5x+1)(4x+3)^−1170views
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^-2281views
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^1/2296views
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^-1/3398views
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^-5/3254views
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^-7/5325views
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)^4/3364views
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)^1/2239views
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)^1/3314views
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)^11/7253views
Textbook QuestionFactor each polynomial over the set of rational number coefficients. 49x^2-1/25248views
Textbook QuestionIn Exercises 133–136, factor each polynomial completely. Assume that any variable exponents represent whole numbers. 36x²ⁿ − y²ⁿ166views
Textbook QuestionIn Exercises 133–136, factor each polynomial completely. Assume that any variable exponents represent whole numbers. x³ⁿ + y¹²ⁿ160views
Textbook QuestionFactor each polynomial over the set of rational number coefficients. (25/9)x^4-(9y^2)236views
Textbook QuestionFind all values of b or c that will make the polynomial a perfect square trinomial. 4z^2+bz+81380views
Textbook QuestionFind all values of b or c that will make the polynomial a perfect square trinomial. 100r^2-60r+c418views
Textbook QuestionFind all values of b or c that will make the polynomial a perfect square trinomial. 49x^2+70x+c262views
Textbook QuestionExercises 143–145 will help you prepare for the material covered in the next section. In each exercise, factor completely. 9b²x + 9b²y − 16x − 16y160views
Textbook QuestionExercises 177–179 will help you prepare for the material covered in the next section. Factor completely: x^3 + x^2 - 4x - 4.326views