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Nov 28, 2007 · you would put 2 into the _| synthetic division sign. then you would line up the rest of the division: if your problem is x^3 - 2x^2 + 12x + 3. 2_| 1 -2 12 3. next you would drop the 1: 2_| 1 -2 12 3 _____ 1 . you would do the numbers under the line multiply by the synthetic divider which is 2. so 1*2 = 2.

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Synthetic division is a way of dividing polynomials by a binomial of the form x-k. I'm not going to explain how it works, but just show how to use it for factoring. First, put one of your P/Q's in a little box or set of parentheses, then list the coefficients and constant in a row next to it.

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7.1: Polynomial Long Division Name_____ Period____ ©T i2Z0B1m5j XKIumtoai HSlo]fJtZwJairBeg JLmLaC_.o f MAQlelN PrRiRgbh[tUsi KrMe\sfezrxvfendI.-1-Divide the following polynomials. Check to see if the result can be factored further. 1) (m3 - 6m2 - 16m + 63) ¸ (m - 7) m2 + m - 9 2) (v3 - 2v2 - 78v + 16) ¸ (v + 8) v2 - 10v + 2 3)

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If this is true, it shouldn’t be hard to find: So one obvious answer is . Now if , then . So another integer answer is . To find the two other solutions, we move everything to one side, and expand. Since and are solutions, then is a factor. We can use polynomial long division or synthetic division to find the remaining quadratic factor. Log into Prezi here. Get Prezi account access by signing into Prezi here, and start working on or editing your next great presentation.