Multiple ChoiceFactor out the Greatest Common Factor in the polynomial.4x2y−100y4x^2y-100y4x2y−100y323views3rank2comments
Multiple ChoiceFactor out the Greatest Common Factor in the polynomial.−3x4+12x3−18x2-3x^4+12x^3-18x^2−3x4+12x3−18x2240views10rank1comments
Multiple ChoiceFactor the polynomial by grouping −x2−5x+7x+35-x^2-5x+7x+35−x2−5x+7x+35231views7rank1comments
Multiple ChoiceFactor the polynomial by grouping. 6x3−2x2+3x−16x^3-2x^2+3x-16x3−2x2+3x−1235views4rank1comments
Multiple ChoiceFactor the polynomial using special product formulas. 25x2−110x+12125x^2-110x+12125x2−110x+121199views8rank
Multiple ChoiceFactor the polynomial using special product formulas. x249−9\frac{x^2}{49}-949x2−9198views4rank
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. x² - 4177views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x³ − 16x174views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² + 8x + 12204views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² + 9x + 20171views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. x³ + 5x²178views
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)353views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x²y − 16y + 32 − 2x²181views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. y² + 10y + 16158views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 12x⁴ − 8x²246views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. 36x² - 49y²198views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 4a²b − 2ab − 30b184views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − 8x + 15155views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 32x⁴ + 2x³ + 8x²166views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. x²y² - 1174views
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)^2284views
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)268views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. y² − 12y + 20163views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 4x²y³ + 6xy158views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. 9x⁴ - 25y⁶160views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 12m+60491views
Textbook QuestionExpress the distance between the numbers -17 and 4 using absolute value. Then evaluate the absolute value.356views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. a² + 5a − 14185views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 30x²y³ − 10xy²202views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. x¹⁴ - y⁴157views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 8k^3+24k315views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 11x⁵ − 11xy²172views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² + x − 30161views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 12xy − 6xz + 4xw173views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. (x - 3)² - y²167views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. xy-5xy^2354views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 4x⁵ − 64x188views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 5h^2j+hj241views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. -4p^3q^4-2p^2q^5417views
Textbook QuestionIn Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers. a² - (b - 2)²162views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x³ − 4x² − 9x + 36164views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. x^2+8x+15357views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 2x⁵ + 54x²167views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − x + 7160views
Textbook QuestionIn Exercises 1–22, factor the greatest common factor from each polynomial. 15x²ⁿ − 25xⁿ160views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 2(a+b)+4m(a+b)393views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. x^2−14x+45321views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 6x(a+b)-4y(a+b)366views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. 2x³ - 8x153views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. (5r-6)(r+3)-(2r-1)(r+3)466views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − 9xy + 14y²150views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −4x + 12173views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. (4z-5)(3z-2)-(3z-9)(3z-2)773views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 2x^2+5x−3290views
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 + 4x177views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 2(m-1)-3(m-1)^2+2(m-1)^3393views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. 50 - 2y²178views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − xy − 30y²169views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −8x − 48165views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x² − 12x + 36 − 49y²195views
Textbook QuestionFactor out the greatest common factor from each polynomial. See Example 1. 5(a+3)^3-2(a+3)+(a+3)^2260views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 6x^2−11x+4275views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. 8x² - 8y²157views
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 QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −2x² + 6x − 14160views
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.267views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 4x² + 25y²174views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. x² − xy + y²166views
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?307views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −5y² + 40x168views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 12x³y − 12xy³180views
Textbook QuestionIn Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication. a² − 18ab + 45b²157views
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 - 1/3x200views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −4x³ + 32x² − 20x170views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 6bx² + 6by²168views
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+4/5x182views
Textbook QuestionIn Exercises 23–34, factor out the negative of the greatest common factor. −x² − 7x + 5161views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x⁴ − xy³ + x³y − y⁴157views
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. x²-9/5x195views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x² − 4a² + 12x + 36181views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. 8x² + 8y²189views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. x² + 25y²176views
Textbook QuestionIn Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 6x^2−7xy−5y^2273views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. x⁴ - 16174views
Textbook QuestionIn Exercises 35–44, factor the greatest common binomial factor from each polynomial. 3x(x+y) − (x+y)177views
Textbook QuestionIn Exercises 35–44, factor the greatest common binomial factor from each polynomial. 4x²(3x−1) + 3x − 1190views
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.182views
Textbook QuestionIn Exercises 39–44, factor by introducing an appropriate substitution. x⁴ − 4x² − 5160views
Textbook QuestionIn Exercises 35–44, factor the greatest common binomial factor from each polynomial. (x + 2)(x + 3) + (x − 1)(x + 3)224views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x² + 10x − y² + 25170views
Textbook QuestionIn Exercises 39–44, factor by introducing an appropriate substitution. (x + 1)² + 8(x + 1) + 7 (Let u = x+1.)184views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x⁸ − y⁸201views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. x³ + 3x² - 4x - 12199views
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 + 7171views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x³y − 16xy³179views
Textbook QuestionIn Exercises 23–48, factor completely, or state that the polynomial is prime. x³ - 7x² - x + 7178views
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 + 3176views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x + 8x⁴164views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. x² + 4x + 4259views
Textbook QuestionFactor each trinomial, if possible. See Examples 3 and 4. 24a^4+10a^3b-4a^2b^2411views
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 − 14154views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 16y² − 4y − 2159views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. x² − 10x + 25171views
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 + 3154views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. x⁴ − 4x² + 4180views
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 + 15157views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. 9y² + 6y + 1250views
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 + 18166views
Textbook QuestionFactor each trinomial, if possible. See Examples 3 and 4. (a-3b)^2-6(a-3b)+9423views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. 64y² − 16y + 1209views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. 12x³ + 3xy²186views
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 − 27172views
Textbook QuestionIn Exercises 57–64, factor using the formula for the sum or difference of two cubes. x^3+64437views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. x² − 12xy + 36y²177views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. x⁶y⁶ − x³y³166views
Textbook QuestionIn Exercises 57–64, factor using the formula for the sum or difference of two cubes. x^3−27451views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. (x + 5)(x − 3) + (x + 5)(x − 7)161views
Textbook QuestionIn Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime. 9x² + 48xy + 64y²167views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. a²(x − y) + 4(y − x)179views
Textbook QuestionIn Exercises 57–64, factor using the formula for the sum or difference of two cubes. 8x^3+125282views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. (c + d)⁴ − 1163views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 5x^3−45x278views
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 − 14y²209views
Textbook QuestionIn Exercises 1–68, factor completely, or state that the polynomial is prime. p³ − pq² + p²q − q³190views
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 − 6b²175views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 2x^4−162266views
Textbook QuestionIn Exercises 65–74, factor by grouping to obtain the difference of two squares. 9x^2 − 30x + 25 − 36x^4183views
Textbook QuestionIn Exercises 65–74, factor by grouping to obtain the difference of two squares. x⁴ − x² − 2x − 1160views
Textbook QuestionIn Exercises 65–74, factor by grouping to obtain the difference of two squares. z² − x² + 4xy − 4y²174views
Textbook QuestionIn Exercises 75–94, factor using the formula for the sum or difference of two cubes. x³ + 64207views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 9x^3−9x261views
Textbook QuestionIn Exercises 75–94, factor using the formula for the sum or difference of two cubes. x³ − 27165views
Textbook QuestionIn Exercises 75–94, factor using the formula for the sum or difference of two cubes. 8y³ + 1184views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. x^3+2x^2−4x−8250views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 20y^4−45y^2382views
Textbook QuestionIn Exercises 83–92, factor by introducing an appropriate substitution. 5x⁴ + 2x² − 3174views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. x^2−10x+25−36y^2273views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. x^2 y−16y+32−2x^2343views
Textbook QuestionIn Exercises 83–92, factor by introducing an appropriate substitution. 3(x+1)² − 5(x+1) + 2 (Let u = x+1)307views
Textbook QuestionIn Exercises 65–92, factor completely, or state that the polynomial is prime. 2x^3−8a^2 x+24x^2+72x277views
Textbook QuestionIn Exercises 83–92, factor by introducing an appropriate substitution. 3(x−2)² − 5(x−2) − 2177views
Textbook QuestionIn Exercises 75–94, factor using the formula for the sum or difference of two cubes. (x − y)³ − y³170views
Textbook QuestionIn Exercises 93–102, factor and simplify each algebraic expression. (x+5)^−1/2−(x+5)^−3/2272views
Textbook QuestionIn Exercises 93–102, factor and simplify each algebraic expression. −8(4x+3)^−2+10(5x+1)(4x+3)^−1175views
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^-2286views
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^1/2301views
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^-1/3410views
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^-5/3259views
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^-7/5332views
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)^4/3376views
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)^1/2242views
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)^1/3321views
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)^11/7258views
Textbook QuestionFactor each polynomial over the set of rational number coefficients. 49x^2-1/25253views
Textbook QuestionIn Exercises 133–136, factor each polynomial completely. Assume that any variable exponents represent whole numbers. 36x²ⁿ − y²ⁿ168views
Textbook QuestionIn Exercises 133–136, factor each polynomial completely. Assume that any variable exponents represent whole numbers. x³ⁿ + y¹²ⁿ167views
Textbook QuestionFactor each polynomial over the set of rational number coefficients. (25/9)x^4-(9y^2)241views
Textbook QuestionFind all values of b or c that will make the polynomial a perfect square trinomial. 4z^2+bz+81388views
Textbook QuestionFind all values of b or c that will make the polynomial a perfect square trinomial. 100r^2-60r+c426views
Textbook QuestionFind all values of b or c that will make the polynomial a perfect square trinomial. 49x^2+70x+c265views
Textbook QuestionExercises 143–145 will help you prepare for the material covered in the next section. In each exercise, factor completely. 9b²x + 9b²y − 16x − 16y164views
Textbook QuestionExercises 177–179 will help you prepare for the material covered in the next section. Factor completely: x^3 + x^2 - 4x - 4.330views