Given:
A polynomial p(x) with degree 7 and real coefficients has the following known zeros with multiplicity two: -4 and 1+i. If 6 is also a zero of p(x).
Required:
What are it’s possible multiplicities?
Explanation:
The polynomial of degree 7 will have 7 zeros.
We have given multiplicity two of -4 and 1+i . So, it is contributing four zeros.
Also, given that 6 is also a zero. So, multiplicity of 6 must be 3.
Answer:
Multiplicity of 6 is three.
