0. Review of Algebra

In Exercises 1–68, factor completely, or state that the polynomial is prime. 4a²b − 2ab − 30b

In Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.x² − 8x + 15

In Exercises 1–22, factor the greatest common factor from each polynomial.32x⁴ + 2x³ + 8x²

In Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers.x²y² - 1

Work each problem. Which of the following is the correct complete factorization of x^4-1? A. (x^2-1)(x^2+1) B.(x^2+1)(x+1)(x-1) C. (x^2-1)^2 D. (x-1)^2(x+1)^2

Work each problem. Which of the following is the correct factorization of x^3+8? A. (x+2)^3 B. (x+2)(x^2+2x+4) C. (x+2)(x^2-2x+4) D. (x+2)(x^2-4x+4)

In Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.y² − 12y + 20

In Exercises 1–22, factor the greatest common factor from each polynomial.4x²y³ + 6xy

In Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers.9x⁴ - 25y⁶

Factor out the greatest common factor from each polynomial. See Example 1. 12m+60

Express the distance between the numbers -17 and 4 using absolute value. Then evaluate the absolute value.

In Exercises 11–16, factor by grouping. x^3−3x^2+4x−12

In Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.a² + 5a − 14

In Exercises 1–22, factor the greatest common factor from each polynomial.30x²y³ − 10xy²

In Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers.x¹⁴ - y⁴