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how to factor quadratics using grouping

I'm having difficulty understanding this concept and would appreciate help

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1 Answer

Hi Arthur,

Factoring by grouping is convenient when there is no common factor among all your terms.

Take for example:

xy + 2y + 3x + 6

There is nothing common to all 4 of these terms, so we can try to factor by grouping instead.

Split the quadratic into 2 groups:



Now factor each of these 2 groups:



Since the (x+2) is common to both this can be factored out: