SOLUTION: Please help me solve this, x^3+4x^2-3x-12/x^2-3

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Question 109116: Please help me solve this,
x^3+4x^2-3x-12/x^2-3
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To simplify this expression, first lets factor the numerator


x%5E3%2B4%2Ax%5E2-3%2Ax-12 Start with the numerator

%28x%5E3%2B4%2Ax%5E2%29%2B%28-3%2Ax-12%29 Group like terms

x%5E2%28x%2B4%29-3%28x%2B4%29 Factor out the GCF out of each group

%28x%5E2-3%29%28x%2B4%29 Combine like terms


So the expression %28x%5E3%2B4x%5E2-3x-12%29%2F%28x%5E2-3%29 becomes %28x%5E2-3%29%28x%2B4%29%2F%28x%5E2-3%29





Now cancel like terms


cross%28%28x%5E2-3%29%29%28x%2B4%29%2Fcross%28%28x%5E2-3%29%29


Simplify

x%2B4



So %28x%5E3%2B4x%5E2-3x-12%29%2F%28x%5E2-3%29 simplifies to x%2B4