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0. Review of Algebra

Factoring Polynomials

0. Review of Algebra

Factoring Polynomials

Open Question
Factor each polynomial. See Example 7. 6(4z-3)^2+7(4z-3)-3
Open Question
Factor each polynomial by grouping. See Example 2. 4x^6+36-x^6y-9y
Open Question
In Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.x² + 8x + 12
Open Question
In Exercises 39–48, factor the difference of two squares. 16x^4−81
Open 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.24. x² + 4x
Multiple Choice
Factor out the Greatest Common Factor in the polynomial.
$4x^2y-100y$
Multiple Choice
Factor out the Greatest Common Factor in the polynomial.
$-3x^4+12x^3-18x^2$
Multiple Choice
Factor the polynomial by grouping
$-x^2-5x+7x+35$
Multiple Choice
Factor the polynomial by grouping.
$6x^3-2x^2+3x-1$
Multiple Choice
Factor the polynomial using special product formulas.
$25x^2-110x+121$
Multiple Choice
Factor the polynomial using special product formulas.
$\frac{x^2}{49}-9$
Multiple Choice
Factor the polynomial.
$x^2-13x+40$
Multiple Choice
Factor the polynomial.
$x^2-2x-15$
Multiple Choice
Factor the polynomial.
$4x^2-19x+12$
Multiple Choice
Factor the polynomial.
$3x^2-2x-5$