Question

Write a quadratic function whose zeros are -5 and 2

Answer 1

The answer is
`y=x^2-3x-10\\`

Explanation:

Start with the x-intercept form:

`(x-m)(x-n)\\m=-5\\n=2`

So:

`(x-5)(x+2)\\`

We know that quadratic equations look like this:

`y=x^2+bx+c\\b=m+n\\c=m*n\\\\b=-5 + 2 = -3\\c=-5*2 = -10`

So we end up with:

`y=x^2-3x-10\\`