Question

find the polynomial function with roots .1, –2, and 5

Answer 1

when you have the roots, that's the same as

x=1
x=-2
x=5

So to start, you write them as a function.

(x-1)(x+2)(x-5)

Then you just FOIL (x-1)(x+2) then distribute (x-5) through.

Answer 2

\[x^3-4 x^2-7 x+10 \]