Factoring a Binomial There are two possibilities when you are given a binomial. It is a difference of squares There is a monomial to factor out.

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Presentation transcript:

Factoring a Binomial There are two possibilities when you are given a binomial. It is a difference of squares There is a monomial to factor out.

Common Monomial Factor

Special Cases 4 Perfect Squares Must be subtraction Square root of the first number Square root of the second number Addition and then subtraction

Special Cases 5

Factoring Quadratic Trinomials When a≠1 -32  4 -1,32 -2,16 -4,8 6  5 1,6 2,3

Factoring By Grouping 1)Group the first two terms and the second two terms 2) Factor the GCF out of each pair 3) Factor out the common binomial factor.

Factoring Quadratic Trinomials When a≠1 **We can not approach this problem the same way we approach problems where a=1. We have to factor by grouping, so we need to re-write this quadratic expressions with 4 terms.

Factoring Practice **Think ahead. You know your second binomial needs to match the first. Anticipate when you need to factor out a negative.

Factoring Practice