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Question

p(x) is a polynomial satisfying p(x+32)=p(x), for all real values of 'x'. If p(5)=2010, what is the value of p(8)?

A
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B
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C
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Solution

The correct option is A
Given relation : p+(x+(32))=p(x).
Also: p(5) = 2010.
So, p(5)=p+(5+(32))=p(6.5)=2010.
And, p(6.5)=p(6.5+(32)=p(8)=2010.
So, p(8) = 2010.

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