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Answer:
Among the four choices, is the only one that is not a linear factor of this polynomial function.
Step-by-step explanation:
Let denote some constant. A linear factor of the form
is a factor of a polynomial
if and only if
(that is: replacing all
in the polynomial
with the constant
would give this polynomial a value of
.)
For example, in the second linear factor , the value of the constant is
. Verify that the value of
is indeed
. (In other words, replacing all
in the polynomial
with the constant
should give this polynomial a value of
.)
.
Hence, is indeed a linear factor of polynomial
.
Similarly, it could be verified that and
are also linear factors of this polynomial function.
Rewrite the first linear factor in the form
for some constant
:
, where
.
Calculate the value of .
.
implies that
(which is equivalent to
) isn't a linear factor of this polynomial function.