Question

f(x) is a polynomial of degree 4 with real coefficients; two of its zeros are -3 (with a multiplicity of one) and 4 - i . How many x-intercepts does f(x) have? Explain how you know using complete sentences. Make sure your explanation is convincing and thorough. ​

Answer 1

Explanation:

complex zeros always occur in pairs.

so zeros are -3,4-i,4+i

so fourth zero also intersects x-axis.

Hence there are two x-intercepts only.