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Question

P(x)=(x1)(x2)(x3)(x4)(x5)(x6).
What is the value of P(11) × P(10) × P(9) × P(8) × P(7) × P(6)?


A

24

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B

32

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C

0

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D

36

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Solution

The correct option is C

0


Since 6 is a zero of the polynomial , P(6) = 0.
So the expression P(11) × P(10) × P(9) × P(8) × P(7) × P(6)
= P(11) × P(10) × P(9) × P(8) × P(7) × 0 = 0


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