What are the zeros of the polynomial function?

f (x) = x4-2x3-103x2+200x+300

Select each correct answer.

-10

-3

-1

0

3

10

It won't be 0 because f (0) = 300

AS the last term is 300 the zeroes could possibly be 4 of the following possibilities + / - 1, + / - 3, + / - 10 (The Rational Roots Theorem)

f (3) = 3^4 - 2 (3) ^3 - 103 (3) ^2 + 209 (3) + 300 = 0

so 3 is one zero

f (10), f (-10) and f (-1) are also = zero

so the list is - 10, - 1, 3, 10 answer