Question

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

The polynomial function in expanded form is f(x) = _
(Use 1 for the leading coefficient.)

Answer 1

Answer:
`f(x)=x^4 +3x^3 +3x^2 +x`

Explanation:

`f(x)=x(x+1)^3 \\\\=x(x^3 +3x^2 +3x+1)\\\\=x^4 +3x^3 +3x^2 +x`