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Learn effective strategies to factor trinomials easily and efficiently by identifying GCF, setting up cross puzzles, splitting the middle term, and mastering the factorization process step by step. Practice with examples and find the factors quickly.
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ing Part 3
When we factor trinomials… • Check and see if you can pull out a GCF first • Set up your cross puzzle…
1 * 2 = 2 first last 2 x2 + 3x + 2 First coeff times the last coeff on top Middle term coeff on the bottom Find factors that multiply to top And add to bottom • “What multiplies to give me 2 and adds to give me 3?” 2 1 3
Split the middle term… 2 • x2 + 3x + 2 • I break 3x up into 1x and 2x • x2 + 1x + 2x + 2 • x(x + 1) + (x + 1) x2 + 3x + 2 I break 3x up into 1x and 2x x2 + 1x + 2x + 2 x(x + 1) • + 2 • (x + 1)(x + 2) • (x + 1) (x + 1) 2 1 3 • Factor first two terms • “Force” factor the second two terms (Front ½ mirrors Back ½) • Check middle GCF • Factor!