0. Review of Algebra

Factor each trinomial, if possible. See Examples 3 and 4. 14m^2+11mr-15r^2

In Exercises 39–44, factor by introducing an appropriate substitution.(x + 1)² + 8(x + 1) + 7 (Let u = x+1.)

Factor each trinomial, if possible. See Examples 3 and 4. 5a^2-7ab-6b^2

In Exercises 45–68, factor by grouping.x² + 3x + 5x + 15

In Exercises 1–68, factor completely, or state that the polynomial is prime. x⁸ − y⁸

In Exercises 23–48, factor completely, or state that the polynomial is prime.x³ + 3x² - 4x - 12

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

In Exercises 45–68, factor by grouping.x² + 7x − 4x − 28

In Exercises 1–68, factor completely, or state that the polynomial is prime. x³y − 16xy³

In Exercises 23–48, factor completely, or state that the polynomial is prime.x³ - 7x² - x + 7

Factor each trinomial, if possible. See Examples 3 and 4. 12x^2-xy-y^2

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

In Exercises 45–68, factor by grouping.x³− 3x² + 4x − 12