Y= −8(x−5)(x+1)
write the quadratic function in standard form.

-8x² + 32x + 40

Step-by-step explanation:

I've included a picture in case you need clarification, feel free to write me a comment too.

y = -8 (x-5)(x+1)

Start by using the FOIL multiplication method on (x-5)(x+1)

1. x * x = x^2

2. x * 1 = x

3. -5 * x = -5x

4. -5 * 1 = -5

Combine all the terms to get: x² - 4x - 5

Now distribute the -8 we left out from earlier to each term (multiply -8):

-8 (x² - 4x - 5)

Your final answer should be:

-8x² + 32x + 40