Homework

Problem 1 · easy

Factor out the GCF: 6x^2 - 9x

Problem 2 · easy

Factor out the GCF: 12x^3y - 8x^2y^2 + 4xy

Problem 3 · easy

Factor: x^2 + 9x + 20

Problem 4 · easy

Factor: x^2 - 8x + 15

Problem 5 · easy

Factor: x^2 + 3x - 28

Problem 6 · easy

Factor: x^2 - 64

Problem 7 · easy

Factor: 4x^2 - 81

Problem 8 · easy

Factor: x^2 + 12x + 36

Problem 9 · medium

Factor: 9x^2 - 24x + 16

Problem 10 · medium

Factor: x^3 - 27

Problem 11 · medium

Factor: 8x^3 + 125

Problem 12 · medium

Factor by grouping: x^3 + 2x^2 + 3x + 6

Problem 13 · medium

Factor: 2x^2 + 7x + 3

Problem 14 · medium

Factor: 3x^2 - 10x - 8

Problem 15 · medium

Factor completely: 3x^3 - 12x

Problem 16 · medium

Factor completely: 5x^4 - 20x^2

Problem 17 · medium

Solve by factoring: x^2 - 7x + 12 = 0

Problem 18 · easy

Solve by factoring: x^2 - 5x = 0

Problem 19 · medium

Solve by factoring: 2x^2 + 5x - 3 = 0

Problem 20 · easy

Solve by factoring: x^2 - 16 = 0

Problem 21 · challenge

Solve by factoring: 6x^2 - x - 2 = 0

Problem 22 · challenge

Factor: 16x^4 - 1

Problem 23 · easy

Factor: x^2 + 5x + 6 and verify by expanding.

Problem 24 · challenge

Factor completely: 4x^3 - 4x^2 - 24x

Problem 25 · challenge

Solve: x(x + 4) = 21