Answer
$0$
Work Step by Step
The Factor Theorem states that if $f(a)=0$, then $(x−a)$ is a factor of $f(x)$.
Since $(x−4)$ is a factor of the polynomial function $f(x)$, then $f(4)=0$.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 3 - Polynomial and Rational Functions - Section 3.2 The Real Zeros of a Polynomial Function - 3.2 Assess Your Understanding - Page 223: 9
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