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College Algebra / Unit 2   Alg 085 short lesson, about 20 seconds

Factoring x² + bx + c

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The idea

x² + bx + c factors as (x + p)(x + q) when p and q multiply to c and add to b.

In practice

x² + 7x + 12: the pair 3 and 4 multiplies to 12 and adds to 7, so (x + 3)(x + 4).

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