SOLUTION: please help me with this problem. x^2+2x-36 / x+4 this is a division problem, I wasn't certain how to show it in this format.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: please help me with this problem. x^2+2x-36 / x+4 this is a division problem, I wasn't certain how to show it in this format.      Log On


   



Question 122365: please help me with this problem.
x^2+2x-36 / x+4
this is a division problem, I wasn't certain how to show it in this format.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

I think you meant %28x%5E2%2B2x-36%29%2F%28x%2B4%29.  You don't say, so I'm going to assume that you mean polynomial long division.

x First term of divisor into first term of dividend
x%2B4 x%5E2%2B2x-36
x
x%2B4 x%5E2%2B2x-36
x%5E2%2B4x Partial quotient times divisor
x
x%2B4 x%5E2%2B2x-36
x%5E2%2B4x
  -2x-36 Subtract and bring down next term
x-2 Divide by first term of divisor again
x%2B4 x%5E2%2B2x-36
x%5E2%2B4x
  -2x-36
x-2
x%2B4 x%5E2%2B2x-36
x%5E2%2B4x
  -2x-36
  -2x-8 Multiply by new quotient term
x-2
x%2B4 x%5E2%2B2x-36
x%5E2%2B4x
  -2x-36
  -2x-8
    -28 Subtract leaving remainder



So: %28x%5E2%2B2x-36%29%2F%28x%2B4%29=%28x-2%29%2B%28-28%29%2F%28x%2B4%29