Use the Remainder Theorem and synthetic division to evaluate the function at the given value.
f
(
x
)
=
−
3
x
5
−
9
x
4
+
x
3
+
4
x
2
−
x
−
6
\displaystyle {f{{\left({x}\right)}}}=-{3}{x}^{{5}}-{9}{x}^{{4}}+{x}^{{3}}+{4}{x}^{{2}}-{x}-{6}
f
(
x
)
=
−
3
x
5
−
9
x
4
+
x
3
+
4
x
2
−
x
−
6
f
(
−
4
)
=
\displaystyle {f{{\left(-{4}\right)}}}=
f
(
−
4
)
=
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