Question

Fill in the blanks. The __ _ _____ states that if $f(x)$ is a polynomial of degree $n(n>0),$ then $f(x)$ has precisely $n$ linear factors, $f(x)=a_{n}\left(x-c_{1}\right)\left(x-c_{2}\right) \cdots\left(x-c_{n}\right),$ where $c_{1}, c_{2}, \ldots, c_{n}$ are complex numbers.

          Fill in the blanks.
The ______ _______ _______ states that if $f(x)$ is a polynomial of degree $n(n>0),$ then $f(x)$ has precisely $n$ linear factors, $f(x)=a_{n}\left(x-c_{1}\right)\left(x-c_{2}\right) \cdots\left(x-c_{n}\right),$ where $c_{1}, c_{2}, \ldots, c_{n}$ are complex numbers.

Added by Sonya C.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Gregory Higby

06/03/2022

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Fill in the blanks. The ______ _______ _______ states that if $f(x)$ is a polynomial of degree $n(n>0),$ then $f(x)$ has precisely $n$ linear factors, $f(x)=a_{n}\left(x-c_{1}\right)\left(x-c_{2}\right) \cdots\left(x-c_{n}\right),$ where $c_{1}, c_{2}, \ldots, c_{n}$ are complex numbers.