0. Review of Algebra

Factoring Polynomials

Textbook Question
In Exercises 49–64, factor any perfect square trinomials, or state that the polynomial is prime.x⁴ − 4x² + 4
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Textbook Question
In Exercises 1–10, factor out the greatest common factor. x(2x+1)+4(2x+1)
Textbook Question
In Exercises 45–68, factor by grouping.ay − by + bx − ax
Textbook Question
In Exercises 45–68, factor by grouping.x³− 3x² + 4x − 12
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Multiple Choice
Factor the polynomial using special product formulas.
$$\frac{x^2}{49}$-9$
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Textbook Question
In Exercises 1–22, factor the greatest common factor from each polynomial.12xy − 6xz + 4xw
Textbook Question
Perform all indicated operations, and write each answer with positive integer exponents. [ (x^-2 + y^-2)/ (x^-2 - y^-2) ] * [ (x+y)/(x-y) ]
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Textbook Question
Factor each polynomial. See Examples 5 and 6. 27-(m+2n)³
Textbook Question
In Exercises 23–34, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial.34. x²-9/5x
Textbook Question
Factor each trinomial, if possible. See Examples 3 and 4. $12 x^{2} - x y - y^{2}$
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Textbook Question
Factor completely: 50x³ − 18x. (Section 5.5, Example 2)
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Textbook Question
In Exercises 31–38, factor completely.4y³ + 12y² − 72y
Textbook Question
In Exercises 65–92, factor completely, or state that the polynomial is prime. x²−10x+25−36y²
Textbook Question
Factor each trinomial, if possible. See Examples 3 and 4. 4x²y²+28xy+49
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Textbook Question
In Exercises 35–44, factor the greatest common binomial factor from each polynomial.(x + 2)(x + 3) + (x − 1)(x + 3)