How do I factor x² + bx + c?

Find two numbers that multiply to c and add to b. Write as (x + p)(x + q) where p × q = c and p + q = b.

What should I do first before any factoring?

Always look for and factor out a GCF first.

Multiply the factors back together using FOIL. If you get the original polynomial, it is correct.

Generate unlimited practice problems with a guaranteed-correct answer key.

Difficulty

Problems

Operation

Max coefficient

Layout

Paper Size

Answer Key

Choose “Save as PDF” in the print dialog to download

Name:Date:Class:

1.Factor:

x^{2} - 64

2.Factor:

x^{2} - 7 x + 12

3.Factor:

x^{2} + 10 x + 21

4.Factor:

x^{2} + 17 x + 72

5.Factor:

x^{2} + 4 x + 3

6.Factor:

x^{2} - 11 x + 30

7.Factor:

x^{2} + 3 x - 18

8.Factor:

x^{2} + 7 x + 6

9.Factor:

x^{2} + x - 2

10.Factor:

x^{2} - 2 x - 48

11.Factor:

x^{2} - 8 x + 16

12.Factor:

x^{2} - x - 72

13.Factor:

x^{2} + 3 x - 54

14.Factor:

x^{2} + 6 x + 8

15.Factor:

x^{2} - 2 x - 63

16.Factor:

x^{2} - 49

17.Factor:

x^{2} - 3 x - 54

18.Factor:

x^{2} + 7 x - 18

19.Factor:

x^{2} + x - 6

20.Factor:

x^{2} - 10 x + 24

worksheetpress.comSeed: k3n9wq

Problem: Factor: x² + 5x + 6

Find two numbers that multiply to 6 and add to 5.— Test pairs: (1,6) sum 7, (2,3) sum 5. ✓
(x + 2)(x + 3)— Write the factored form.

Answer: (x + 2)(x + 3)