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Methods of Factoring

This document outlines several methods of factoring expressions including: the difference of two squares formula, sum and difference of two cubes formulas, grouping like terms, factoring quadratic trinomials by finding two binomials whose product is the constant term and sum is the coefficient of the linear term, and finding the greatest common factor of terms.

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4K views7 pages

Methods of Factoring

This document outlines several methods of factoring expressions including: the difference of two squares formula, sum and difference of two cubes formulas, grouping like terms, factoring quadratic trinomials by finding two binomials whose product is the constant term and sum is the coefficient of the linear term, and finding the greatest common factor of terms.

Uploaded by

jessicarrudolph
Copyright
© Attribution Non-Commercial (BY-NC)
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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!

Methods of

factoring
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Difference of Two Squares

a - b = (a+b)(a-b)
!

a + b = (a+b)( a -ab+b ) 3 3 2 2 a - b = (a-b)( a +ab+b )


S-O-AP
SAME OPPOSITE ALWAYS POSITIVE
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Sum / Difference of Two Cubes


3 3 2

Grouping
1. Is there a GCF? Factor it out! 2. Split the expression into two pairs of terms and factor separately 3. Make sure the factor you pull out is the same for both pairs 4. Combine the factor shared and the other factors to create a factored expression
!

Credit: PurpleMath

Quadratic Trinomials
ax + bx + c
Ask yourself, what multiplies to c and adds to b
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Greatest Common Factor


The largest of the common factors of two or more numbers
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