Write a quadratic function whose zeros are -5 and 2

Question

asked Sep 12, 2024 98.2k views

1 Answer

COME FROM · Answer 1 · 2024-09-17T01:22:19+0000

Answer:

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:

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