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Factoring Polynomials by Grouping 10305 Views
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Description:
Factoring polynomials by grouping is easy. You just combine like terms and then factor them out. Ta da!
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?
Full 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.
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