Algebra II - factoring

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6 Terms

1
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factor out the GCF

EX. 4x² - 8x

4x(x-2)

2
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difference of squares

a²-b² = (a+b)(a-b)

3
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sum and difference of cubes

a³-b³=(a-b)(a²+ab-b²)

a³+b³=(a+b)(a²-ab+b²)

4
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trinomial with a=1

x²+bx+c

[factors of c that add to b]

5
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grouping

First 2 terms and the last 2 terms, then factor out the GCF

6
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complex trinomial with a ≠ 1

ax²+bx+c

[use the a*c method]

then use grouping