Factoring Decision Tree All Polynomials Factor out Greatest Common Factor first! Trinomials

Binomials

Even Number of Terms 4+

ax2 + bx + c a≠0

Difference of Two Squares a2 - b2 =

Sum of Two Cubes a3 (a +

+

b)(a2

b3

=

- ab +

Difference of Two Cubes a3 - b 3 =

b2)

(a - b)(a2 + ab + b2)

(a + b)(a-b)

x2 + 4x - 12

Linked to trinomials

What two numbers multiply to equal -12 and add to equal 4?

x2 - 4 =

(x + 6)(x - 2)

x2 + 0x - 4 =

(x + 2)(x -2)

a≠1

a=1

Factor by Grouping

Sometimes can't be factored x2 - 3x + 3

Break middle term (bx) into two terms so that you have 4 terms total and then factor by grouping What two numbers multiply to equal ac and add to b?

Group terms into pairs (usually) Factor out the GCF of each grouping Factor out the common binomial / trinomial

© Peter Clark 2012

Factoring Decision Tree

All Polynomials. Factor out Greatest. Common Factor first! Binomials. Difference of Two. Squares a2 - b2 = (a + b)(a-b). Linked to trinomials x2 - 4 = x2 + 0x - 4 =.

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