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Answer:
Factor theorem: .
Synthetic division: .
Step-by-step explanation:
<h3>Factor Theorem</h3>By the factor theorem, a monomial of the form (where
is a constant) is a factor of polynomial
if and only if
.
In this question, the monomial is , which is equivalently
.
.
.
Hence, by the factor theorem, , which is equivalent to
, is a factor of
.
.
The remainder is when dividing
by
. Hence,
is a factor of
.