2. For the given polynomial f(x), determine all zeros of f(x). Show all steps for solving and explain in written words.

f(x) = x^6 + 3x^5+x^4+11x^3+24x^2+8x+24

- a zero of f(x) is x=1

- the pont (-2,0) is a point on the graph of f(x)

- f(-3) = 0