0. Review of Algebra

In Exercises 1–10, factor out the greatest common factor. 3x^2+6x

In Exercises 1–10, factor out the greatest common factor. 9x^4−18x^3+27x^2

In Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.x² + 9x + 20

In Exercises 1–22, factor the greatest common factor from each polynomial.x³ + 5x²

Work each problem. Match each polynomial in Column I with its factored form in Column II. a. x^2 + 10xy +25y^2 b. x^2-10xy +25y^2 c.x^2-25y^2 d. 25y^2-x^2 A. (x+5y ) (x-5y) B. (x+5y)^2 C. (x-5y)^2 D. (5y+x)(5y-x)

In Exercises 1–68, factor completely, or state that the polynomial is prime. x²y − 16y + 32 − 2x²

In Exercises 1–30, factor each trinomial, or state that the trinomial is prime. Check each factorization using FOIL multiplication.y² + 10y + 16

In Exercises 1–22, factor the greatest common factor from each polynomial.12x⁴ − 8x²

In Exercises 1–22, factor each difference of two squares. Assume that any variable exponents represent whole numbers.36x² - 49y²

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)