Efficient Factoring Techniques for Polynomial Equations
Discover reliable factoring strategies that always work, including identifying the greatest common factor, using grouping for four or more terms, recognizing the difference of squares pattern, and factoring trinomials in various forms. Improve your factoring skills with this comprehensive checklist.
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Presentation Transcript
Factoring Checklist Works every time!
1. Check to see if there is a GCF. If so, factor it out. 3xy + 12xy
2. Are there 4 or more terms? If so, use grouping. 4y + 2y + 12xy + 6x
3. Is the polynomial a Difference of Squares? If so, use the formula. a - b (a + b)(a b) 9x - 64y
4. Is it a trinomial of the form x + bx + c? If so, rewrite in factored form (x )(x ) and factor the last term to find the match. x + 7x 18
5. Is it a trinomial of the form ax + bx + c? If so, multiply the first and last coefficients and find the match for the middle term, then rewrite using the match, then group. 4y + 12y + 9
