Factoring Polynomials

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Presentation transcript:

Factoring Polynomials Algebra 2 6-4

Factoring Before factoring trinomials, ALWAYS check for a GCF first If there is a GCF, factor it out with the distributive property, then proceed with factoring the trinomial Factoring

Summary

Summary

Steps for factoring Trinomials Multiply first and last coefficients Find all pairs of factors for the product Select the pair of factors that adds (subtracts) to the value of the middle coefficient Rewrite the original equation as four terms, replacing the middle term Use factor by grouping Set each binomial to zero if solving Steps for factoring Trinomials

Dealing with Negative Numbers If the last term is negative, subtract the factored pair. The largest replacement term has the same sign as the original middle term If the last term is positive, the replacement terms both have the same sign as the original middle term Dealing with Negative Numbers

Factoring Summary Factor out GCF whenever possible Technique Example 2 Terms Technique Example 2 Difference of Squares 9x2-49 3 Perfect Square Grouping 16x2-40x+25 6x2+5x-6 4 2my+7x+7m+2xy Factor out GCF whenever possible Factoring Summary

Factoring Summary

Factoring

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Sum and Difference of cubes

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Pg 433 - 435 20 – 32 even, 36, 38, 42, 44, 66 Homework