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luda_lava [24]
3 years ago
6

I need help in this please! thank you so much!

Mathematics
1 answer:
Anna35 [415]3 years ago
5 0

Answer:

C) p(x) has a zero between x=2 and x=4

Step-by-step explanation:

For a polynomial p(x), p(a)=R means that, when p(x) is divided by x-a, the remainder is R.

This is called the remainder theorem

Therefore p(2)=1, p(4)=-1 means that when p(x) is divided x-2 and x-4 is 1 and -1 respectively.

Also the Intermediate value theorem says that, if p(a) and p(b) have opposite signs then there is a certain c on (a,b) where f(c)=0 i.e there is a zero between a and b

Therefore the correct answer is C

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