Question

How do you find a polynomial function of degree 4 with -1 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1?

Answer 1

Just multiply:

`(x+1)^3*(x-0)`

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

`=x^4+3x^3+3x^2+x`