How to find a polynomial function of degree 4 with -4 as a zero of...

Deacon Hensley

Deacon Hensley

Answered

2023-01-01

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

halliekorinnbsn

halliekorinnbsn

Expert

2023-01-02Added 13 answers

We're given that there are zeros at x=4 (mult. 3) and at x=0 (mult. 1).
Since the zero at x=4 has multiplicity three, we can write it as the factor (x+4) raised to the third power:
f(x)=(x+4)3
Additionally, x=0 has a zero, so we can add an x:
f(x)=x(x+4)3
Or, in expanded form, is
f(x)=x4+12x3+48x2+64x

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?