Layla B.

asked • 04/24/18

Long division of a polynomial - please help!

I'm really having trouble understanding how to solve this problem:
 
"Use long division to express f(x) in the form f(x) = Q(x) + [R(x) ÷ (x-1)], where Q(x) is the quotient and R(x) is the remainder, when dividing 2x3 + 2x by x- 1."

I set it up like:
 
x+ 0x + 1 √2x+ 0x+ 2x + 0

I divide xby 2x3 and I get 2x, which I put on the top. Then I distribute and I ultimately end up with "2x" in the quotient and "4x+0" in the remainder. However, I don't know what to do from there. 

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