Math Polynomial function

Question

Find a polynomial function f(x) with the given degree, zeros, and leading coefficient:

  Degree 4, x = - 3, multiplicity of 2; x = 1 multiplicity of 1; x = 3, multiplicity of 1 and a leading coefficient of 1.

Factored form-

Standard Form-

Answer 1

f(x)= (x+3)(x+3)(x-1)(x-3)

= (x^2+6x+9)(x^2-4x+3)

f(x) = x^4 +2x^3 -12x^2 -18x +27