ShmoopTube

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Factoring polynomials by grouping a la shmoop!

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

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

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

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

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

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

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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]

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

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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]

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

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

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

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