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Unit 7 Polynomials and Factoring Homework 1 Answer Key Form

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the first step in factoring a polinomial where the x s coefficient the X squ term is not one is to move it over to the other side and write this as x^2 + 11x plus 3 * 6 is 18 next thing you want to do is list off all the positive factor pairs of 18 since all these coefficients are positive and I'll sum it all together 1 + 18 is 19 2 + 9 is 11 and 3 + 6 is 9 next thing is to look at the coefficient of the X term that 11 and match it up to the sum of a factor pair 19's not at the 11 is well the positive 9 is not I'll use 2 and 9 to write out this answer of x + 2 * x + 9 it's Bor to leave a gap in front of the X last thing I'll do is look at the coefficient of the X squ term the six and write it in front of the X term and I'll simplify this down so 6X plus 2 I could factor out of two to write this as 3x + 1 well the second term I could factor out of three to write it as 2x + 3 and that's the final answer

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