Multiple ChoiceFactor out the Greatest Common Factor in the polynomial.4x2y−100y4x^2y-100y4x2y−100y306views3rank2comments
Multiple ChoiceFactor out the Greatest Common Factor in the polynomial.−3x4+12x3−18x2-3x^4+12x^3-18x^2−3x4+12x3−18x2234views10rank1comments
Multiple ChoiceFactor the polynomial by grouping −x2−5x+7x+35-x^2-5x+7x+35−x2−5x+7x+35221views7rank1comments
Multiple ChoiceFactor the polynomial by grouping. 6x3−2x2+3x−16x^3-2x^2+3x-16x3−2x2+3x−1227views4rank1comments
Multiple ChoiceFactor the polynomial using special product formulas. 25x2−110x+12125x^2-110x+12125x2−110x+121192views7rank
Multiple ChoiceFactor the polynomial using special product formulas. x249−9\frac{x^2}{49}-949x2−9193views4rank
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. x² - 4170views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x³ − 16x167views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² + 8x + 12193views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² + 9x + 20166views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. x³ + 5x²168views
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)344views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x²y − 16y + 32 − 2x²173views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. y² + 10y + 16152views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 12x⁴ − 8x²235views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. 36x² - 49y²193views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 4a²b − 2ab − 30b176views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − 8x + 15150views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 32x⁴ + 2x³ + 8x²162views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. x²y² - 1169views
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)^2276views
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)262views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. y² − 12y + 20158views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 4x²y³ + 6xy155views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. 9x⁴ - 25y⁶155views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 12m+60464views
Textbook QuestionExpress the distance between the numbers -17 and 4 using absolute value. Then evaluate the absolute value.338views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. a² + 5a − 14177views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 30x²y³ − 10xy²191views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. x¹⁴ - y⁴152views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 8k^3+24k305views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 11x⁵ − 11xy²159views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² + x − 30157views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 12xy − 6xz + 4xw170views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. (x - 3)² - y²161views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. xy-5xy^2341views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 4x⁵ − 64x183views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 5h^2j+hj232views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. -4p^3q^4-2p^2q^5409views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. a² - (b - 2)²158views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x³ − 4x² − 9x + 36157views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. x^2+8x+15345views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 2x⁵ + 54x²159views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − x + 7153views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 15x²ⁿ − 25xⁿ154views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 2(a+b)+4m(a+b)366views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. x^2−14x+45311views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 6x(a+b)-4y(a+b)354views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. 2x³ - 8x147views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. (5r-6)(r+3)-(2r-1)(r+3)441views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − 9xy + 14y²142views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −4x + 12168views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. (4z-5)(3z-2)-(3z-9)(3z-2)732views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 2x^2+5x−3282views
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 + 4x168views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 2(m-1)-3(m-1)^2+2(m-1)^3381views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. 50 - 2y²173views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − xy − 30y²159views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −8x − 48158views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x² − 12x + 36 − 49y²190views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 5(a+3)^3-2(a+3)+(a+3)^2250views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 6x^2−11x+4271views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. 8x² - 8y²153views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² + xy + y²156views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −2x² + 6x − 14151views
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.252views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 4x² + 25y²167views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − xy + y²161views
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?298views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −5y² + 40x162views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 12x³y − 12xy³170views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. a² − 18ab + 45b²151views
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 - 1/3x194views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −4x³ + 32x² − 20x162views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 6bx² + 6by²160views
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+4/5x177views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −x² − 7x + 5153views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x⁴ − xy³ + x³y − y⁴154views
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. x²-9/5x189views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x² − 4a² + 12x + 36175views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. 8x² + 8y²180views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. x² + 25y²167views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 6x^2−7xy−5y^2265views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. x⁴ - 16167views
Textbook QuestionIn Exercises 35–44, factor the greatest common binomial factor from each polynomial. 3x(x+y) − (x+y)172views
Textbook QuestionIn Exercises 35–44, factor the greatest common binomial factor from each polynomial. 4x²(3x−1) + 3x − 1183views
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.175views
Textbook QuestionIn Exercises 39–44, factor by introducing an appropriate substitution. x⁴ − 4x² − 5153views
Textbook QuestionIn Exercises 35–44, factor the greatest common binomial factor from each polynomial. (x + 2)(x + 3) + (x − 1)(x + 3)208views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x² + 10x − y² + 25164views
Textbook QuestionIn Exercises 39–44, factor by introducing an appropriate substitution. (x + 1)² + 8(x + 1) + 7 (Let u = x+1.)176views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x⁸ − y⁸190views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. x³ + 3x² - 4x - 12190views
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 + 7160views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x³y − 16xy³170views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. x³ - 7x² - x + 7173views
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 + 3172views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x + 8x⁴159views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. x² + 4x + 4243views
Textbook QuestionFactor each trinomial, if possible. See Examples 3 and 4. 24a^4+10a^3b-4a^2b^2397views
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 − 14147views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 16y² − 4y − 2153views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. x² − 10x + 25161views
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 + 3149views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. x⁴ − 4x² + 4171views
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 + 15153views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. 9y² + 6y + 1233views
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 + 18161views
Textbook QuestionFactor each trinomial, if possible. See Examples 3 and 4. (a-3b)^2-6(a-3b)+9408views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. 64y² − 16y + 1204views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 12x³ + 3xy²176views
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 − 27166views
Textbook QuestionIn Exercises 57–64, factor using the formula for the sum or difference of two cubes. x^3+64415views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. x² − 12xy + 36y²162views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x⁶y⁶ − x³y³156views
Textbook QuestionIn Exercises 57–64, factor using the formula for the sum or difference of two cubes. x^3−27435views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. (x + 5)(x − 3) + (x + 5)(x − 7)153views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. 9x² + 48xy + 64y²159views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. a²(x − y) + 4(y − x)173views
Textbook QuestionIn Exercises 57–64, factor using the formula for the sum or difference of two cubes. 8x^3+125277views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. (c + d)⁴ − 1159views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 5x^3−45x274views
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 − 14y²197views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. p³ − pq² + p²q − q³181views
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 − 6b²165views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 2x^4−162259views
Textbook QuestionIn Exercises 65–74, factor by grouping to obtain the difference of two squares. 9x^2 − 30x + 25 − 36x^4174views
Textbook QuestionIn Exercises 65–74, factor by grouping to obtain the difference of two squares. x⁴ − x² − 2x − 1154views
Textbook QuestionIn Exercises 65–74, factor by grouping to obtain the difference of two squares. z² − x² + 4xy − 4y²169views
Textbook QuestionIn Exercises 75–94, factor using the formula for the sum or difference of two cubes. x³ + 64200views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 9x^3−9x258views
Textbook QuestionIn Exercises 75–94, factor using the formula for the sum or difference of two cubes. x³ − 27157views
Textbook QuestionIn Exercises 75–94, factor using the formula for the sum or difference of two cubes. 8y³ + 1178views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. x^3+2x^2−4x−8242views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 20y^4−45y^2366views
Textbook QuestionIn Exercises 83–92, factor by introducing an appropriate substitution. 5x⁴ + 2x² − 3167views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. x^2−10x+25−36y^2265views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. x^2 y−16y+32−2x^2338views
Textbook QuestionIn Exercises 83–92, factor by introducing an appropriate substitution. 3(x+1)² − 5(x+1) + 2 (Let u = x+1)291views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 2x^3−8a^2 x+24x^2+72x270views
Textbook QuestionIn Exercises 83–92, factor by introducing an appropriate substitution. 3(x−2)² − 5(x−2) − 2171views
Textbook QuestionIn Exercises 75–94, factor using the formula for the sum or difference of two cubes. (x − y)³ − y³162views
Textbook QuestionIn Exercises 93–102, factor and simplify each algebraic expression. (x+5)^−1/2−(x+5)^−3/2262views
Textbook QuestionIn Exercises 93–102, factor and simplify each algebraic expression. −8(4x+3)^−2+10(5x+1)(4x+3)^−1168views
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^-2277views
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^1/2293views
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^-1/3388views
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^-5/3252views
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^-7/5321views
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)^4/3354views
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)^1/2235views
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)^1/3313views
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)^11/7252views
Textbook QuestionFactor each polynomial over the set of rational number coefficients. 49x^2-1/25245views
Textbook QuestionIn Exercises 133–136, factor each polynomial completely. Assume that any variable exponents represent whole numbers. 36x²ⁿ − y²ⁿ165views
Textbook QuestionIn Exercises 133–136, factor each polynomial completely. Assume that any variable exponents represent whole numbers. x³ⁿ + y¹²ⁿ157views
Textbook QuestionFactor each polynomial over the set of rational number coefficients. (25/9)x^4-(9y^2)235views
Textbook QuestionFind all values of b or c that will make the polynomial a perfect square trinomial. 4z^2+bz+81373views
Textbook QuestionFind all values of b or c that will make the polynomial a perfect square trinomial. 100r^2-60r+c412views
Textbook QuestionFind all values of b or c that will make the polynomial a perfect square trinomial. 49x^2+70x+c260views
Textbook QuestionExercises 143–145 will help you prepare for the material covered in the next section. In each exercise, factor completely. 9b²x + 9b²y − 16x − 16y158views
Textbook QuestionExercises 177–179 will help you prepare for the material covered in the next section. Factor completely: x^3 + x^2 - 4x - 4.324views