What is the answer to this question? I’m a bit stuck.

Question

4. The graph of a polynomial function has zeros of 0(multiplicity 2), and -1 (multiplicity 2), and 3 (multiplicity 1) Write a function, in standard form, that could represent this function.

Answer 1

(x+1)^2(x-3)x^2

= (x^2 + 2x + 1)(x-3)(x^2)

= (x^3 -x^2 - 5x -3)(x^2)

= x^5 -x^4 -5x^3 -3x^3