Answer:
The quadratic formula is ([tex]-b[/tex]±√[tex]b^2-4ac[/tex])/[tex]2a[/tex]
so you do (-5±√25-4*2*-7)/2*2
(-5±√25+56)/4
(-5±√81)/4
(-5±9)/4
-14/4 = -7/2
4/4= 1
These are your x intercepts
to transform them into a function plug them with their opposite sign like this
(x+7/2)(x-1)
I changed from -7/2 to +7/2, same thing for 1/
For (x+7/2), you don't want any fractions so you multiply it by 2, which will give you (2x+7)
So the final equation will be (2x+7)(x-1)
Hope that answers your question
Don't hesitate to comment if you are confused with something.
Step-by-step explanation:
