Question

Find the polynomial function with roots 1, -2, and 5

Answer 1

Can you explain how you got that too? I'd really appreciate it.

Answer 2

start with the polynomial in factored form, and then multiply out

Answer 3

since you have the zeros, you know how to factor the polynomial
it is
\[p(x)=a(x-1)(x+2)(x-5)\] since clearly if you replace x by 1, -2 or 5 you will get 0

Answer 4

to make your life simple, make \(a=1\) and multiply
\[(x-1)(x+2)(x-5)\] to write your polynomial in standard form