Common Factoring, Simple Trinomials
Recall: Find all the factors of 24.A polynomial is ____________________ when it is written as a product of two or more polynomials. ______________ a polynomial is the reverse process of _______________.Eg.7(x+2) is the factored form of 7x+14Definitions: _____________________ is a polynomial with one term._____________________________________________________ is the greatest number and/or variable that is a factor of two or more numbers or terms.Examples: The GCF of 12 and 8 is ______The GCF of 12x2y and 6xy2 is _______The GCF of 5xy2 and 20y2 is _______To factor a polynomial:Example 1 Monomial common factorFactor fully, if possible.6x+3b) 8x2-7x25k6+15k4d) 21c4d3-28c2d5+7cd35x5y3+7w5z2f) 2x3y4z2+4x2y2z3 x2+xh) 8x3-4x2+32x3x2y+xy2j) 9a2-8abExample 2 Binomial Common FactorFactor.3x(y+1)+7z(y+1)2xx-3-5(x-3)5x22x+3-10x(2x+3)Example 3 Factor by GroupingFactor.ax+ay+2x+2y9x2+15x+3x+5Challenge Factor.xy+x+y+14ax+2by-8ay-bxSummary:Factoring a polynomial is the opposite of expanding a polynomial.x2+3x=x(x+3)Practice: From the website (Also see website for videos)For all questions below, factor.Basic Difficulty 27622516510Medium Difficulty17145078740Hard Difficulty19050153035From the website (Also see website for videos)6667547625Answers:Easy17145022225Medium 206781000Hard2000258495100Factor by Grouping20193013843000Self-QuizExpand. (Remember this is the opposite of factoring!)5x+42x3x-5-7(x-2)x+12x-32(x-3)(x+1)Factor. 3x2-6x4x2y3+8xy5-12x6y36m3-10m2+3m-5Answers5x+206x2-10x-7x+142x2-x-32x2-4x-63xx-24xy3x+2y-3x5(2m2+1)(3m-5) ................
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