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. -4a^-2/5+16a^-7/5
Textbook Question
In Exercises 1–22, factor the greatest common factor from each polynomial.30x²y³ − 10xy²
Textbook Question
In Exercises 1–68, factor completely, or state that the polynomial is prime. x³y − 16xy³
Textbook Question
In Exercises 75–94, factor using the formula for the sum or difference of two cubes. (x − y)³ − y³
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Multiple Choice
Factor the polynomial.
$x^2-13x+40$
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Textbook Question
In Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.x² − 9xy + 14y²
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Textbook Question
Factor each polynomial. See Examples 5 and 6. y⁴-81
Textbook Question
Factor by any method. See Examples 1–7. $4 z^{4} - 7 z^{2} - 15$
Textbook Question
In Exercises 1–68, factor completely, or state that the polynomial is prime. x² − 4a² + 12x + 36
Textbook Question
Factor each polynomial. See Examples 5 and 6. $9 m^{2} - n^{2} - 2 n - 1$
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Textbook Question
Factor each polynomial. See Examples 5 and 6. (p-2q)²-100
Textbook Question
In Exercises 1–22, factor the greatest common factor from each polynomial.15x²ⁿ − 25xⁿ
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Textbook Question
In Exercises 1–68, factor completely, or state that the polynomial is prime. a²(x − y) + 4(y − x)
Textbook Question
In Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime.64y² − 16y + 1
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Textbook Question
In Exercises 83–92, factor by introducing an appropriate substitution.5x⁴ + 2x² − 3
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