SOLUTION: 2x^2+5x+3 __________ 2x^2-x-6

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Question 1075186: 2x^2+5x+3
__________
2x^2-x-6
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
2x^2+5x+3
__________
2x^2-x-6

%282x%5E2%2B5x%2B3%29%2F%282x%5E2-x-6%29

Numerator and denominator are factorable.

%28%282x%2B3%29%28x%2B1%29%29%2F%28%282x%2B3%29%28x-2%29%29

You did not say specifically what you wanted.
One undefined point for x%3C%3E-3%2F2;
One vertical asymptote at x=2;
and one x-intercept at x=-1.

Also checking the leading terms of numerator and denominator, as x goes toward positive infinity or negative infinity, the expression approaches 1. Horizontal asymptote of y=1.

You can check how the expression behaves in each interval of the x-axis...