Practice Factoring in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Rewriting an algebraic expression as a product of two or more simpler expressions that multiply to give the original.

Reverse distribution: instead of expanding (x+2)(x+3), you compress x2+5x+6 into the same product.

Showing a random 20 of 50 problems.

Example 1

easy
Factor: 4y2−25.

Example 2

medium
Factor: x2+4x+4.

Example 3

medium
Factor: 3x2−10x+3.

Example 4

easy
Factor: x2−25.

Example 5

medium
Factor: x3+2x2−x−2.

Example 6

hard
Factor: 6x2+x−2.

Example 7

easy
Factor: x2+x−12.

Example 8

medium
Factor: x2−8x+16.

Example 9

hard
Factor: x2+4x+4−y2.

Example 10

medium
Factor: x2−4x−21.

Example 11

medium
Factor completely: 3x2−27.

Example 12

hard
Factor: x2+6xy+9y2.

Example 13

medium
Factor: 2x2+7x+3.

Example 14

medium
Solve x2−5x+6=0 by factoring.

Example 15

easy
Factor: x2+8x+15.

Example 16

hard
Factor: x2−12x+36.

Example 17

easy
Factor: x2−10x+16.

Example 18

medium
Factor: a3−8.

Example 19

medium
Factor: 9−x2.

Example 20

easy
Factor: 5x2−10x.