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ACT Preparation / Unit 8   ACT 0709 short lesson, about 20 seconds

Factoring by Grouping

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The idea

For ax² + bx + c with a ≠ 1, find two numbers with product ac and sum b, split the middle term, and factor in pairs.

In practice

2x² + 7x + 3: 6 and 1 split it: 2x(x + 3) + 1(x + 3) = (2x + 1)(x + 3).

Where people slip

Pairs that share no binomial signal an error.

Your place on the trail

Every lesson rests on earlier ones and opens later ones. Tap any to jump.

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