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Math III Videos 103 videos

Unit Rate
20718 Views

Approximately 874 people per day wonder what a unit rate is. If you're one of them, check out our video on unit rates and how to use them. (We just...

Solving Proportions Using Cross Products
6802 Views

This video covers how to use cross products to solve for a missing number in a proportion by setting that proportion with a variable over the produ...

GED Math 2.4 Rational Numbers
190 Views

GED Math 2.4 Rational Numbers. Lucius's favorite restaurant is how many km from his home?

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Factoring Polynomials by Grouping 10286 Views


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Description:

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

Language:
English Language

Transcript

00:04

Factoring Polynomials by Grouping, a la Shmoop.

00:08

Grunkle, Goblinville's newest Architect, is having trouble constructing a hovel.

00:13

His hovel... looks like this:

00:15

If he doesn't finish it by sundown, he will look like this:

00:20

Can you help Grunkle simplify his blueprints?

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.

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