Question 39840: Need help with the following:
Use synthetic division to find the quotient and remainder when
3x3 – x2 + 4x – 10 is divided by x + 1.
Answer by fractalier(6550)   (Show Source):
You can put this solution on YOUR website! For dividing synthetically, we write out the coefficients of the dividend, 3x^3 – x^2 + 4x – 10 and use the root of x + 1, which is -1 to be our "divisor," like this:
-1_____3____-1____4____-10
____________-3____4____-8
_______3____-4____8____-18
so that our answer, our quotient, is
3x^2 - 4x + 8 with a remainder of -18/(x+1)
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