0. Review of Algebra

Factoring Polynomials

Textbook Question
Factor each polynomial. See Examples 5 and 6. (a+b)²-16
Textbook Question
Factor each polynomial by grouping. See Example 2. $4 x^{6} + 36 - x^{6} y - 9 y$
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Textbook Question
Factor completely, or state that the polynomial is prime. 64-x^2
Textbook Question
In Exercises 95–104, factor completely.8x⁴ − x/8
Textbook Question
Factor out the greatest common factor from each polynomial. See Example 1. 2(a+b)+4m(a+b)
Textbook Question
Factor each polynomial. See Example 7. 9(a-4)²+30(a-4)+25
Textbook Question
Factor each trinomial, if possible. See Examples 3 and 4. $9 x^{2} + 4 x - 2$
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Textbook Question
In Exercises 69–82, factor completely.8a²b + 34ab – 84b
Textbook Question
In Exercises 95–104, factor completely.0.04x² + 0.12x + 0.09
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Textbook Question
Factor out the greatest common factor from each polynomial. See Example 1. xy-5xy²
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Textbook Question
In Exercises 1–68, factor completely, or state that the polynomial is prime. (c + d)⁴ − 1
Textbook Question
In Exercises 1–68, factor completely, or state that the polynomial is prime. x⁶y⁶ − x³y³
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Textbook Question
In 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 + 7
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Textbook Question
In Exercises 69–78, factor each polynomial.2y⁷(3x−1)⁵ − 7y⁶(3x−1)⁴
Textbook Question
Multiply or divide, as indicated. (x² - y²)/(x - y)² * (x² - xy + y²)/(x² - 2xy + y²) ÷ (x³ + y³)/(x - y)⁴