Find a polynomial of degree 4 with -3 as a zero of multiplicity 2, -2 as a zero of multiplicity 1, and -1 as a zero of multiplicity 1.

Question

A f(x) = x4 + 9x3 - 27x2 + 39x + 18
B f(x) = x4 - 9x3 + 29x2 - 39x + 18
C f(x) = x4 - 10x3 + 29x2 + 39x + 18
D f(x) = x4 + 9x3 + 29x2 + 39x + 18

Answer 1

f(x) = (x + 3)(x + 3)(x + 2)(x + 1)

 

Now multiply.