SOLUTION: Perform the indicated operation (2x^3+x^2-x+1) / (2x+3) (use long division)

Question 731918: Perform the indicated operation (2x^3+x^2-x+1) / (2x+3) (use long division)
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
2x^3/(2x) = x^2.
x^2*(2x+3)=2x^3+3x^2.
Subtraction gives -2x^2; bring down -x.
Look at -2x^2-x.

-2x^2/(2x)=-x
-x*(2x+3)=-2x^2-3x.
Subtraction gives 2x; bring down the 1.

(2)/().... This 2x+1 looks like a remainder.

Quotient without remainder is , and remainder is .
Continued for one more step, quotient is x^2-x+1, remainder -2. This should mean, .

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