Answer:
y = x^2 +3x-10
Step-by-step explanation:
If we know the roots of a quadratic function, we know that
y = (x -a) (x-b) where a and b are the roots
y = (x-2 ) (x--5)
y = (x-2)(x+5)
We need to foil this out to get this in standard form of ax^2 + bx+c
FOIL (x-2) (x+5)
First x*x: x^2
outer : 5*x = 5x
inner: -2x = -2x
last : -2*5 = -10
Add them up
x^2 +5x-2x-10
x^2 +3x-10
