Question

What are the zeros of the polynomial function?

Answer 1

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