Provide an appropriate response.
-What are the possible numbers of real zeros (counting multiplicities) for a polynomial function with real coefficients of degree six?
A) 1, 3, or 5
B) 2, 4, or 6
C) 6
D) 0, 2, 4, or 6

Question

Quizplus · Accepted Answer

A polynomial of degree six can have 0, 2, 4, or 6 real zeros when considering the possibility of complex roots (which always come in conjugate pairs if coefficients are real) and the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots (counting multiplicities and including complex roots).

Provide an Appropriate Response