# How do you graph #F(x)=((4x^2)+8x-32)/((2x^2)-6x+4)#?

##### 1 Answer

factorize the numerator and denominator separately

#### Explanation:

can be factorized using rules for quadratic equation to simplify equation

Step 1 Taking 4 common from numerator and 2 from denominator

Step 2 factorizing numerator and denominator

in this step i have changed the middle term in both numerator and denominator in such a manner when you multiply 4x-2x you get -8 the third term in the numerator and similarly when you multiply -2x-x you get 2 the third term in the denominator

so now taking out common terms

graph{(2(x+4))/((x-1) [-infinity, infinity]}