Question

Given `f(x)=2x^2+11x-21` and `g(x)=2x-3` how do you determine `y=(f(x))/(g(x))`?

Answer 1

`y=x+7`

Explanation:

You would factorize f(x):

`2x^2+11x-21=(x+7)(2x-3)`

Then simplify y:

`y=f(x)/g(x)=((x+7)cancel((2x-3)))/cancel((2x-3))=x+7`