If f(x)=2x^2−x−6 and g(x)=x^2−4, find f(x)÷g(x) .
I understand how to plug it in and what not and multiply, add, or subtract, but I cannot figure out how to divide the functions. Help?!??

Question

If f(x)=2x^2−x−6 and g(x)=x^2−4, find f(x)÷g(x) .
I understand how to plug it in and what not and multiply, add, or subtract, but I cannot figure out how to divide the functions. Help?!??

luigi0210 · Answer

Set it up first.

anonymous · Answer

2x^2-x-6/x^2-4
?

luigi0210 · Answer

Right, now factor top and bottom.

anonymous · Answer

$$\frac{ (x-3)(x+2) }{(x-4) (x-4) }$$

anonymous · Answer

How do I simplify past that? multiply denom?  @Luigi0210

luigi0210 · Answer

You might wanna check your factoring.

anonymous · Answer

the bottom or the top?

anonymous · Answer

is the bottom factor x-2?

anonymous · Answer

@Luigi0210

anonymous · Answer

would the answer be 2x-3/x-2?

luigi0210 · Answer

Yes, it would be, and sorry about that.

anonymous · Answer

it's okay! thank you @Luigi0210