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Question

If the value of quadratic polynomial p(x) is 0 at x=1 and p(2)=2, then value of p(2) is:

A
18
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B
9
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C
6
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D
3
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Solution

The correct option is D 6
Equation is 0 at x=1
(x+1) is a factor

Quadratic is (x+α)(x+1=0)
p(2)=2(2+α)(2+1)=22α=2α=0

Polynomial is
x2+x=0

22+2=4+2=6

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