0. Review of Algebra

Factoring Polynomials

Textbook Question
In Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.x² − x + 7
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Textbook Question
In Exercises 65–92, factor completely, or state that the polynomial is prime. 6x²−6x−12
Textbook Question
Add or subtract, as indicated. 5/x + 2 + 2/x² - 2x + 4 - 60/x³ + 8
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Textbook Question
Factor completely, or state that the polynomial is prime. $x^{2} - 11 x + 28$
Textbook Question
Factor each polynomial. See Examples 5 and 6. $y^{2} - x^{2} + 12 x - 36$
Textbook Question
Solve each polynomial equation in Exercises 1–10 by factoring and then using the zero-product principle. $4 y^{3} - 2 = y - 8 y^{2}$
Textbook Question
In Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.a² − 18ab + 45b²
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Textbook Question
Factor out the greatest common factor from each polynomial. See Example 1. 5h²j+hj
Textbook Question
In Exercises 65–92, factor completely, or state that the polynomial is prime. 2x³−8a²x+24x²+72x
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Textbook Question
In Exercises 1–68, factor completely, or state that the polynomial is prime. x² − 12x + 36 − 49y²
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Textbook Question
In Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime.9x² + 48xy + 64y²
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Textbook Question
In Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime.x² + 4x + 4
Textbook Question
Write each rational expression in lowest terms. x³ + 64 / x + 4
Textbook Question
In Exercises 91–100, find all values of x satisfying the given conditions. $y = x^{3} + 4 x^{2} - x + 6$ and $y equals 10$
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Textbook Question
Factor each polynomial. See Examples 5 and 6. 125-(4a-b)³
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