How to find a polynomial function of degree 4 with -4 as a zero of...
How to find a polynomial function of degree 4 with -4 as a zero of multiplicity 3 and 0 as a zero of multiplicity 1?
Answer & Explanation
We're given that there are zeros at (mult. 3) and at (mult. 1).
Since the zero at has multiplicity three, we can write it as the factor raised to the third power:
Additionally, x=0 has a zero, so we can add an x:
Or, in expanded form, is