0. Review of Algebra

Factoring Polynomials

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.16y² − 6y − 27
Textbook Question
Solve each polynomial equation in Exercises 1–10 by factoring and then using the zero-product principle. $5 x^{4} - 20 x^{2} = 0$
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Textbook Question
In Exercises 69–82, factor completely.10y⁵ – 17y⁴ + 3y³
Textbook Question
In 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 + 4x
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Textbook Question
In Exercises 65–74, factor by grouping to obtain the difference of two squares. z² − x² + 4xy − 4y²
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Textbook Question
In Exercises 1–22, factor the greatest common factor from each polynomial.x³ + 5x²
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Textbook Question
Factor completely, or state that the polynomial is prime. 3x^4-12x^2
Textbook Question
Factor 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)^1/2
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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.) [4(x²- 1)³ + 8x(x²-1)⁴] / [16(x²-1)³]
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Textbook Question
In Exercises 23–48, factor completely, or state that the polynomial is prime.2x³ - 8x
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Textbook Question
Factor each trinomial, if possible. See Examples 3 and 4. 36x³+18x²-4x
Textbook Question
In Exercises 69–82, factor completely.12x²y – 46xy² + 14y³
Textbook Question
Factor each trinomial, or state that the trinomial is prime. $6 x^{2} - 7 x y - 5 y^{2}$
Textbook Question
In Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.y² + 10y + 16
Textbook Question
In Exercises 45–68, factor by grouping.x² + 7x − 4x − 28
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