0. Review of Algebra

Factoring Polynomials

Textbook Question
In Exercises 23–48, factor completely, or state that the polynomial is prime.x⁴ - 16
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Textbook Question
Simplify each rational expression. Assume all variable expressions represent positive real numbers. (Hint: Use factoring and divide out any common factors as a first step.) [10(4x²-9)² - 25x(4x²-9)³] / [15(4x²-9)⁶]
Textbook Question
In Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.x² − 8x + 15
Textbook Question
Factor each polynomial. See Examples 5 and 6. 8-a³
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Textbook Question
Factor each polynomial. See Example 7. (3x+4)³-1
Textbook Question
Factor out the greatest common factor from each polynomial. See Example 1. 2(m-1)-3(m-1)²+2(m-1)³
Textbook Question
Factor each polynomial over the set of rational number coefficients. 49x²-1/25
Textbook Question
Factor using the formula for the sum or difference of two cubes. $x cubed plus 64$
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Textbook Question
In Exercises 35–44, factor the greatest common binomial factor from each polynomial.3x(x+y) − (x+y)
Textbook Question
In Exercises 1–68, factor completely, or state that the polynomial is prime. (x + 5)(x − 3) + (x + 5)(x − 7)
Textbook Question
Factor each polynomial. See Example 7. $m^{4} - 3 m^{2} - 10$
Textbook Question
In Exercises 1–68, factor completely, or state that the polynomial is prime. 12x³y − 12xy³
Textbook Question
In Exercises 11–16, factor by grouping. x³−3x²+4x−12
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Textbook Question
In Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.x² − xy − 30y²
Textbook Question
In Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers.a² - (b - 2)²
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