0. Review of Algebra

Factoring Polynomials

Textbook Question
In Exercises 1–68, factor completely, or state that the polynomial is prime. x³ − 4x² − 9x + 36
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Textbook Question
Factor by any method. See Examples 1–7. $(x + y)^{2} - (x - y)^{2}$
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Textbook Question
In Exercises 23–48, factor completely, or state that the polynomial is prime.x³ + 3x² - 4x - 12
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Textbook Question
In Exercises 1–68, factor completely, or state that the polynomial is prime. p³ − pq² + p²q − q³
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Textbook Question
Simplify each complex fraction. [ 1/(x+1) - 1/x ] / (1/x)
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Textbook Question
In Exercises 1–68, factor completely, or state that the polynomial is prime. 4x² + 25y²
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Textbook Question
In Exercises 93–100, factor completely.x² − 6/25 + 1/5 x
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Textbook Question
Find all values of b or c that will make the polynomial a perfect square trinomial. 49x²+70x+c
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Textbook Question
In Exercises 83–92, factor by introducing an appropriate substitution.3(x−2)² − 5(x−2) − 2
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Textbook Question
In Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime.9y² + 6y + 1
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Textbook Question
In Exercises 31–38, factor completely.3x⁴ + 54x³ + 135x²
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Textbook Question
In Exercises 103–114, factor completely. 6x⁴+35x²−6
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Textbook Question
In Exercises 1–68, factor completely, or state that the polynomial is prime. x + 8x⁴
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Textbook Question
Exercises 143–145 will help you prepare for the material covered in the next section. In each exercise, factor completely.9b²x + 9b²y − 16x − 16y
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Textbook Question
In Exercises 69–80, factor completely.x⁴ − 5x²y² + y⁴
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