Factoring Polynomials by Grouping

Factoring polynomials by grouping is easy. You just combine like terms and then factor them out. Ta da!

AlgebraUnderstand the relationship between zeros and factors of polynomials
LanguageEnglish Language
PolynomialsFactoring Polynomials

Transcript

00:23

The area of the hovel floor should be x2 + 3x + 2x + 6.

00:28

All those polynomials are making Grunkle rather blue.

00:32

Which is unfortunate, since Grunkle is usually a lovely emerald green.

00:35

Good thing we can factor this polynomial by grouping.

00:39

The first two terms have a common factor of x

00:42

and the last two terms have a common factor of 2.

00:45

We can rewrite the polynomial as x times x + 3 + 2 times x + 3.

00:55

See another factor we can pull out?

00:57

Since both terms have x plus 3 as a factor, we can pull out an x plus 3 from each.

01:04

This gives us (x + 2) times (x + 3).

01:08

Happy factorization, Grunkle!

01:10

All you have to do now is look at your blueprint to see what x is.

01:14

And x equals... the length of a ferocious jungle jabberwocky.

01:18

Sorry, you're on your own.