Provide an appropriate response.
-Fill in the blanks to complete the statement. A polynomial function of degree 11 has at least $x$-intercept(s) and at most $\quad x$-intercept(s).
A) $11 ; 11$
B) $0 ; 10$
C) $10 ; 11$
D) $1 ; 11$

Question

Quizplus · Accepted Answer

A polynomial of degree 11 can have at most 11 x-intercepts (real roots), according to the Fundamental Theorem of Algebra. However, it can also have complex roots, in which case the number of real x-intercepts (real roots) could be fewer, including possibly none. Therefore, it has at least 1 x-intercept and at most 11 x-intercepts.

Provide an Appropriate Response xxx -Intercept(s) and at Most x\quad xx -Intercept(s) 11;1111 ; 1111;11

Provide an Appropriate Response $x$ -Intercept(s) and at Most $\quad x$ -Intercept(s) $11 ; 11$