0. Review of Algebra

Factoring Polynomials

Textbook Question
In Exercises 17–38, factor each trinomial, or state that the trinomial is prime. x²+8x+15
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Textbook Question
In Exercises 35–44, factor the greatest common binomial factor from each polynomial.4x²(3x−1) + 3x − 1
Textbook Question
Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 9z^-1/2+2z^1/2
Textbook Question
Factor each polynomial. See Examples 5 and 6. $36 z^{2} - 81 y^{4}$
Textbook Question
In Exercises 23–48, factor completely, or state that the polynomial is prime.x² + 25y²
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Textbook Question
In Exercises 65–92, factor completely, or state that the polynomial is prime. x³+2x²−4x−8
Textbook Question
Multiply or divide, as indicated. (2k + 8)/6 ÷ (3k + 12)/2
Textbook Question
In Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime.x² − 12xy + 36y²
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Textbook Question
Factor each trinomial, if possible. See Examples 3 and 4. $12 s^{2} + 11 s t - 5 t^{2}$
Textbook Question
In Exercises 1–68, factor completely, or state that the polynomial is prime. x² + 10x − y² + 25
Textbook Question
In Exercises 1–68, factor completely, or state that the polynomial is prime. 2x⁵ + 54x²
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Textbook Question
Factor each polynomial. See Examples 5 and 6. 125x³-27
Textbook Question
In Exercises 69–82, factor completely.12x² + 10xy – 8y²
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Textbook Question
In Exercises 1–22, factor the greatest common factor from each polynomial.4x²y³ + 6xy
Textbook Question
In Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.x² + 8x + 12
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