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Factoring Strategies Review

AB
What are the 3 main strategies for factoring polynomials?GCF, X-Box, DOTS
When do you use GCF?Always
When do you use X-Box?With a trinomial
When do you use DOTS?With a Difference of Two Squares
What type of factoring method can you use with 4x^2 + 2x?GCF only
What type of factoring method can you use with x^2 - 3x - 40?X-Box
What type of factoring method can you use with x^2 - 49?DOTS
What type of factoring method do you use with X^2 + 36?None - it is a SUM of Two Squares (SOTS) and it is prime
Factor x^2 - x - 56(x-8)(x+7)
Factor 16x^2 - 81(4x-9)(4x+9)
What is the GCF of 3x^3 + 48x?3x
Is x^2 - 27 a Difference of Two Squares or DOTS?No
Is x^2 - 25 a Difference of Two Squares or DOTS?Yes
Can x^2 - 5x + 15 be factored using X-Box?Yes
Can 4x^2 + 18 be factored using X-BoxNO
Is SOTS a factoring strategy?No
If you have two terms, what factoring strategy should you check for besides GCF?DOTS
If you have three terms, what factoring strategy should you check for besides GCF?X-Box
What do you always try first when factoringGCF (everytime!!!)
What is the answer if you cannot factor using any method?Prime



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