0. Review of Algebra

Factoring Polynomials

Textbook Question
Factor out the least power of the variable or variable expression. Assume all variables represent positive real numbers. See Example 8. 4t^-2+8t^-4
Textbook Question
Simplify the algebraic expression. 5(2x - 3) + 7x
Textbook Question
Factor completely, or state that the polynomial is prime. $5 x cubed minus 45 x$
Textbook Question
In Exercises 23–48, factor completely, or state that the polynomial is prime.8x² - 8y²
Textbook Question
In Exercises 65–74, factor by grouping to obtain the difference of two squares. x⁴ − x² − 2x − 1
Textbook Question
Factor by any method. See Examples 1–7. $q^{2} + 6 q + 9 - p^{2}$
Multiple Choice
Factor out the Greatest Common Factor in the polynomial.
$-3x^4+12x^3-18x^2$
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Textbook Question
In Exercises 83–92, factor by introducing an appropriate substitution.3(x+1)² − 5(x+1) + 2 (Let u = x+1)
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Textbook Question
In Exercises 1–68, factor completely, or state that the polynomial is prime. 6bx² + 6by²
Textbook Question
Simplify each complex fraction. (2 - 2/y) / (2 + 2/y)
Textbook Question
In Exercises 93–100, factor completely.−5x⁴y³ + 7x³y⁴ − 2x²y⁵
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Textbook Question
In Exercises 1–68, factor completely, or state that the polynomial is prime. x²y − 16y + 32 − 2x²
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Textbook Question
Factor by any method. See Examples 1–7. 64+(3x+2)³
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Textbook Question
In Exercises 1–10, factor out the greatest common factor. 3x²+6x
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Textbook Question
In Exercises 75–94, factor using the formula for the sum or difference of two cubes. x³ − 27
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