SOLUTION: How do you factor completely? f(x)=x^3-7x-6 divided by x^2+3x+2

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Question 159519: How do you factor completely?
f(x)=x^3-7x-6
divided by
x^2+3x+2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=%28x%5E3-7x-6%29%2F%28x%5E2%2B3x%2B2%29 Start with the given equation



f%28x%29=%28%28x-3%29%28x%2B2%29%28x%2B1%29%29%2F%28x%5E2%2B3x%2B2%29 Factor the numerator (hint: use the graph to help you factor)


f%28x%29=%28%28x-3%29%28x%2B2%29%28x%2B1%29%29%2F%28%28x%2B2%29%28x%2B1%29%29 Factor the denominator


Cancel out like terms.


f%28x%29=x-3 Simplify. Take note that x%3C%3E-2 or x%3C%3E-1