0. Review of Algebra

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

In Exercises 1–22, factor the greatest common factor from each polynomial.12xy − 6xz + 4xw

In Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers.(x - 3)² - y²

Factor out the greatest common factor from each polynomial. See Example 1. xy-5xy^2

In Exercises 1–68, factor completely, or state that the polynomial is prime. 4x⁵ − 64x

Factor out the greatest common factor from each polynomial. See Example 1. 5h^2j+hj

In Exercises 16–17, factor completely.xy − 6x + 2y − 12

Factor out the greatest common factor from each polynomial. See Example 1. -4p^3q^4-2p^2q^5

In Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers.a² - (b - 2)²

In Exercises 1–68, factor completely, or state that the polynomial is prime. x³ − 4x² − 9x + 36

In Exercises 16–17, factor completely.24x³y + 16x²y − 30xy

In Exercises 17–38, factor each trinomial, or state that the trinomial is prime. x^2+8x+15

In Exercises 1–68, factor completely, or state that the polynomial is prime. 2x⁵ + 54x²

Simplify the algebraic expression. 5(2x - 3) + 7x

Simplify the algebraic expression. (1/5)(5x) + [(3y) + (- 3y)] - (-x)