Find a formula for the polynomial of least degree its x-intercepts are 0 and -2 and the graph goes through the point (2, -64)

Dburgess66 Apr 6, 2020

#1**+2 **

Given the x-intercepts, we can set up and equation in the form y=a(x-x1)(x-x2) where x1 and x2 are the x-intercepts. In order to find the equation of the graph, we need to solve for a. Filling out the numbers we get y=a(x-0)(x-(-2)). We then plug in the point (2, -64) as X and Y to get -64=a(2-0)(2+2). That simplifies into a=-8. The equation then turns into **-8x^2-16x** which is our answer. Graph it to check if it works.

Hope it helps!

HELPMEEEEEEEEEEEEE Apr 6, 2020