Answer
False
Work Step by Step
The given fourth degree polynomial function has the following zeros:
$-3
\\2+i
\\2-i
\\-3+5i$
The Conjugate Pairs Theorem states that if $a+bi$ is a zero of a polynomial function with a real number of coefficients, then $a-bi$ is also a zero of the function.
This means that since $-3+5i$ is a zero of the given function, $-3-5i$ is also a zero of the function.
Since $-3-5i$ is not listed as a zero of the fourth-degree polynomial function, the given statement is false.
