Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the degree of the polynomial determines the number of roots. false true

Question

the degree of the polynomial determines the number of roots. false true

Explanation:

Brief Explanations

By the Fundamental Theorem of Algebra, a polynomial of degree $n$ (where $n$ is a non-negative integer) has exactly $n$ roots in the complex number system, counting multiplicities. This means the degree directly dictates the total number of roots (including repeated and complex roots), so the statement is true.

Answer:

True