SOLUTION: I really need help in solving the following problem: (4x^4-6x^3+x+7)/(2x-1)Please help! Thank you.

Algebra ->  Rational-functions -> SOLUTION: I really need help in solving the following problem: (4x^4-6x^3+x+7)/(2x-1)Please help! Thank you.      Log On


   

Question 78013: I really need help in solving the following problem: (4x^4-6x^3+x+7)/(2x-1)Please help! Thank you.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
%284x%5E4-6x%5E3%2Bx%2B7%29%2F%282x-1%29
The 1st term of the answer is 2x%5E3
multiply by 2x+-+1 and subtract from 4x%5E4-6x%5E3%2Bx%2B7
getting remainder -4x%5E3+%2B+x+%2B+7
The 2nd term of the answer is -2x%5E2
multiply by 2x+-+1 and subtract from -4x%5E3+%2B+x+%2B+7
getting remainder of -2x%5E2+%2B+x+%2B+7
The 3rd term of the answer is -x
multiply by 2x+-+1 and subtract from -2x%5E2+%2B+x+%2B+7
The remainder is +7
So, the answer is 2x%5E3+-+2x%5E2+-+x+%2B+7%2F%282x-1%29
Check this by multiplying by 2x+-+1