0. Review of Algebra

Factoring Polynomials

Textbook Question
In Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers.x² - 4
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Textbook Question
In Exercises 23–48, factor completely, or state that the polynomial is prime.50 - 2y²
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Textbook Question
In Exercises 93–102, factor and simplify each algebraic expression. (x+5)^−1/2−(x+5)^−3/2
Textbook Question
In Exercises 23–34, factor out the negative of the greatest common factor.−8x − 48
Textbook Question
Multiply or divide, as indicated. ac + ad + bc + bd/a² - b² * a³ - b³/2a² + 2ab + 2b²
Textbook Question
Factor each trinomial, if possible. See Examples 3 and 4. 5a²-7ab-6b²
Textbook Question
Factor each polynomial. See Examples 5 and 6. 25s⁴-9t²
Textbook Question
In Exercises 16–17, factor completely.24x³y + 16x²y − 30xy
Textbook Question
Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 4x(2x+3)^-5/9+6x²(2x+3)^4/9-8x³(2x+3)^13/9
Textbook Question
Factor each trinomial, if possible. See Examples 3 and 4. $32 a^{2} + 48 a b + 18 b^{2}$
Textbook Question
Factor each trinomial, if possible. See Examples 3 and 4. $24 a^{4} + 10 a^{3} b - 4 a^{2} b^{2}$
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Multiple Choice
Factor out the Greatest Common Factor in the polynomial.
$4x^2y-100y$
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Textbook Question
Multiply or divide, as indicated. (m² + 3m + 2)/(m² + 5m + 4) ÷ (m² + 5m + 6)/(m² + 10m + 24)
Textbook Question
Factor each polynomial. See Examples 5 and 6. $27 z^{9} + 64 y^{12}$
Textbook Question
In Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.y² − 12y + 20
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