Name: Factoring completely: solution walkthrough
Uploaded: 2026-11-13
Duration: 1 min 42 s
Description: Which of the following is the complete factorization of 2x² + 10x + 12? Try it, then watch the animated solution.

First take out the greatest common factor.

2

,

10

and

12

are all multiples of

2

:

2(x^2 + 5x + 6)

.

Now factor

x^2 + 5x + 6

. Find two numbers that multiply to

6

and add to

5

: they are

2

and

3

.

So

x^2 + 5x + 6 = (x + 2)(x + 3)

. Each group of tiles makes a rectangle

x + 2

by

x + 3

.

Keep the

2

in front:

2x^2 + 10x + 12 = 2(x + 2)(x + 3)

. Nothing factors further.

Traps: stopping after the first step, leaving a

2

hidden inside a bracket, or picking

1

and

6

.

Try it first