I need someone to show the work and explain how to do it. Thanks
1 answer:
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Answer:
C) p(x) has a zero between x=2 and x=4
Step-by-step explanation:
For a polynomial p(x), means that, when p(x) is divided by
, the remainder is
.
This is called the remainder theorem
Therefore ,
means that when p(x) is divided
and
is 1 and
respectively.
Also the Intermediate value theorem says that, if p(a) and p(b) have opposite signs then there is a certain on
where
i.e there is a zero between
and
Therefore the correct answer is C