Convert the function into intercept form. Show your work. y=x^2+5x-36

y = (x - 4) (x + 9).

Step-by-step explanation:

Intercept form is y = a (x + b) (x + c)

y = x^2 + 5x - 36.

Here the coefficient of x^2 is 1 so a = 1.

To find b and c we need 2 numbers whose product is - 36 and whose sum = + 5. These are + 9 and - 4 so the answer is:

y = (x - 4) (x + 9).