0. Review of Algebra

Factoring Polynomials

Textbook Question
Factor each trinomial, if possible. See Examples 3 and 4. 14m²+11mr-15r²
723
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Textbook Question
In Exercises 39–48, factor the difference of two squares. 36x²−49y²
562
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Textbook Question
In Exercises 39–44, factor by introducing an appropriate substitution.(x + 1)² + 8(x + 1) + 7 (Let u = x+1.)
645
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Textbook Question
Factor each trinomial, if possible. See Examples 3 and 4. 5a²-7ab-6b²
1099
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Textbook Question
In Exercises 45–68, factor by grouping.x² + 3x + 5x + 15
699
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Textbook Question
In Exercises 1–68, factor completely, or state that the polynomial is prime. x⁸ − y⁸
718
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Textbook Question
In Exercises 23–48, factor completely, or state that the polynomial is prime.x³ + 3x² - 4x - 12
683
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Textbook Question
In Exercises 45–68, use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.2x² + 9x + 7
646
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Textbook Question
In Exercises 45–68, factor by grouping.x² + 7x − 4x − 28
742
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Textbook Question
In Exercises 1–68, factor completely, or state that the polynomial is prime. x³y − 16xy³
680
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Textbook Question
In Exercises 23–48, factor completely, or state that the polynomial is prime.x³ - 7x² - x + 7
628
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Textbook Question
Factor each trinomial, if possible. See Examples 3 and 4. $12 x^{2} - x y - y^{2}$
1198
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Textbook Question
In Exercises 45–68, use the method of your choice to factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.5x² − 16x + 3
659
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Textbook Question
Factor each perfect square trinomial. $x^{2} + 2 x + 1$
1050
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Textbook Question
In Exercises 45–68, factor by grouping.x³− 3x² + 4x − 12
681
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