Question

Find the polynomial f(x) that has the roots of -3, 5 of multiplicity 2. Explain how you would verify the zeros of f(x).

Answer 1

it would look like
\[f(x)=(x+3)(x-5)^2\]

Answer 2

how would i verify the 0s?

Answer 3

i am not really sure what that means
if you have a polynomial in factored form you know the zeros by your eyeballs

Answer 4

you could plug in the number and see that you get zero, but that will only verify that you have a zero, not its multiplicity