SOLUTION: simplify (divide) 2x^3+3x^2-3x+4 over x+2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: simplify (divide) 2x^3+3x^2-3x+4 over x+2      Log On


   

Question 165195: simplify (divide) 2x^3+3x^2-3x+4 over x+2
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
%282x%5E3+%2B+3x%5E2+-+3x+%2B+4%29+%2F+%28x%2B2%29
1st term = 2x%5E2
%28x%2B2%29%2A2x%5E2+=+2x%5E3+%2B+4x%5E2
3x%5E2+-+4x%5E2+=++-%28x%5E2%29
2nd term = -x
%28x%2B2%29%2A%28-x%29+=+-%28x%5E2%29+-+2x
-3x+%2B+2x+=+-x
3rd term = -1
%28x%2B2%29%2A%28-1%29+=+-x+-+2
-x+%2B+4+-+%28-x+-+2%29+=+6
The answer is
2x%5E2+-+x+-+1+%2B+6%2F%28x%2B2%29 (last term is remainder)
check answer:
%28x%2B2%29%2A%282x%5E2+-+x+-+1+%2B+6%2F%28x%2B2%29%29
2x%5E3+-+x%5E2+-+x+%2B+6+%2B+4x%5E2+-+2x+-+2+
2x%5E3+%2B+3x%5E2+-+3x+%2B+4
OK