SOLUTION: Divide using synthetic division.
(3x^4+11x^3-20x^2+7x+35) divided by (x+5)
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Question 673717: Divide using synthetic division.
(3x^4+11x^3-20x^2+7x+35) divided by (x+5)
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
if you don't know how to do it, then read this tutorial.
http://www.purplemath.com/modules/synthdiv.htm
it will explain how it's done.
if you follow their guidelines, you will get something that looks like this:

your divisor of x + 5 becomes the multiplier of -5 because when you set x + 5 = 0 and solve for x, you get x = -5.
you bring down the coefficients of all the terms.
you then bring down the first coefficient of 3.
you then multiply 3 by -5 to get -15 and add that to 11 to get - 4
you then multiply -4 by -5 to get + 20 and add that to - 20 to get 0
you then multiply 0 by -5 to get + 0 and add that to + 7 to get + 7
you then multiply + 7 by - 5 to get - 35 and add that to + 35 to get 0
your anser is 3x^3 - 4x^2 + 7 with a remainder of 0.
check out the picture and look at the tutorial and you should be able to figure out how it was done.
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