## College Algebra (10th Edition)

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.