0. Review of Algebra

In Exercises 17–38, factor each trinomial, or state that the trinomial is prime. x^2−14x+45

Factor out the greatest common factor from each polynomial. See Example 1. 6x(a+b)-4y(a+b)

In Exercises 23–48, factor completely, or state that the polynomial is prime.2x³ - 8x

Factor out the greatest common factor from each polynomial. See Example 1. (5r-6)(r+3)-(2r-1)(r+3)

In Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.x² − 9xy + 14y²

In Exercises 23–34, factor out the negative of the greatest common factor.−4x + 12

Factor out the greatest common factor from each polynomial. See Example 1. (4z-5)(3z-2)-(3z-9)(3z-2)

In Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 2x^2+5x−3

Factor out the greatest common factor from each polynomial. See Example 1. 2(m-1)-3(m-1)^2+2(m-1)^3

In Exercises 23–48, factor completely, or state that the polynomial is prime.50 - 2y²

In Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.x² − xy − 30y²

In Exercises 23–34, factor out the negative of the greatest common factor.−8x − 48

In Exercises 1–68, factor completely, or state that the polynomial is prime. x² − 12x + 36 − 49y²

Factor out the greatest common factor from each polynomial. See Example 1. 5(a+3)^3-2(a+3)+(a+3)^2

In Exercises 17–38, factor each trinomial, or state that the trinomial is prime. 6x^2−11x+4