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ACT Preparation / Unit 8   ACT 0708 short lesson, about 20 seconds

Factoring x² + bx + c

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The idea

To factor x² + bx + c, find two numbers with product c and sum b; the factors are x plus each number.

In practice

x² − x − 12: −4 and 3 multiply to −12 and add to −1, so (x − 4)(x + 3).

Where people slip

A positive c means the numbers share a sign; a negative c, opposite signs.

Your place on the trail

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

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