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Factoring Polynomials Videos 14 videos

Factoring Trinomials of the Type ax^2 + bx +c
2329 Views

There are a variety of methods for factoring trinomials, Complete the square! Use the quadratic formula! Or be a genius and do it in your brain!

Factoring Polynomials
3383 Views

Factoring polynomials allows us to group things—and everything's always better in groups. Well... almost everything.

Factoring Polynomials by Grouping
10286 Views

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

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Factoring Polynomials by Grouping 10286 Views


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

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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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