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Verified Answer :

1ronMan

One of the zeroes must be x=-3.

sarahtaurus17

What applies here is one of the laws of the factorization of polynomials, called the factor theorem and it states that:

For a polynomial f(x) , if for any value a,  f(a) =0  then (x-a) is factor of f(x)

Example:

Consider the polynomial

\(f(x) = x^{3} - 3x^{2} - 8x+4\)

For  a =3,

\(f(a) = (3)^{3} - 3(3)^{2} - 8(3)+24\)

= 27-27-24+24 = 0

f (3)= 0

which means (x-3) is a factor of f(x)

Applying the above rule to the question:

if (x + 3) is a factor of a polynomial f(x), then f(-3) = 0

note that (x+3) can also be written  as (x- (-3)).