Find a polynomial function of degree 4 with −2 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1.

f(x)=

Thank you!

1 answer

"with −2 as a zero of multiplicity 3" ---> (x+2)^3
"0 as a zero of multiplicity 1. " ---- x

f(x) = a x(x+2)^3 , where a is a constant , a≠0