Factoring TrinomialsTwo numbers that multiply to c and add to b — and what to do…9th GradeFor x² + bx + c, find two numbers whoseproduct is c and whose sum is b. Those numbersgo in the brackets.x² + bx + c = (x + p)(x + q)x² + 7x + 12(x+3)(x+4)3 × 4 = 12 and 3 + 4 = 7.x² − 5x + 6(x−2)(x−3)Both negative: product positive, sum negative.x² + x − 12(x+4)(x−3)Opposite signs because c is negative.2x² + 7x + 3(2x+1)(x+3)When a ≠ 1, split the middle term or use trial factors.THE COMMON MISTAKE✗ x² − 5x + 6 = (x+2)(x+3)✓ (x−2)(x−3)A positive c with a negative b means both numbers are negative.Sign check: c positive means both same sign. c negative meansopposite signs.Factoring Trinomialswww.littleactivity.com

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Math · 9th Grade

Factoring Trinomials

Two numbers that multiply to c and add to b — and what to do when a is not 1.

How to use it

List the factor pairs of c systematically. Guessing wastes more time than listing.

Free · print-ready PDF · US Letter and A4

Grade
9th Grade
Ages
14–15
Subject
Math
Pages
1

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