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Factoring Polynomials 3383 Views


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Description:

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

Language:
English Language

Transcript

00:03

Factoring polynomials by grouping a la shmoop!

00:07

Grunkle.. goblinvilles newest architect was having trouble constructing a hovel his [Goblin architecht thinking of a design]

00:12

hovel looks like this if he doesn't finish it by sundown he will look like

00:17

this and you help grunkle simplify his blueprints.. the area of the hovel floor [Tomatoes hit grunkle in the face]

00:24

should be x squared plus 3 X plus 2 X plus 6 all those polynomials are making

00:30

Grunkle rather blue which is unfortunate since Grunkle is usually a lovely [Grunkle with dirt on his face crying]

00:33

emerald green good thing we can factor this polynomial by grouping.. the first

00:39

two terms have a common factor of X and the last two terms have a common factor [Two terms with common factor X and last two terms common factor of 2]

00:43

of two we can rewrite the polynomial as x times X plus 3 plus 2 times X plus 3. See

00:55

another factor we can pull out into both terms have X plus 3 as a factor we can [People browsing through binoculars over a lake]

01:01

pull out an x plus 3 from each, this gives us X plus 2 times X plus 3

01:07

happy factorization Grunkle all you have to do now is look at your blueprint to [Grunkle stood beside a rainbow with his hovel blueprint]

01:12

see what X is and x equals the length of a ferocious jungle Jabberwocky sorry [Jabberwocky chases Grunkle away]

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