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Question

Which of the following is not a factor of x3+ 2x2+x?


A

x + 2

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B

x + 1

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C

x

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D

(x + 1)2

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Solution

The correct option is A

x + 2


Let p(x) = x3+ 2x2+x

If x=0, then p(0) = 0. So, x is a factor of p(x)

p(x) = x3+ 2x2+x = x (x + 1)2 {Using long division method}

Therefore, the factors of p(x) are x, (x+1) and (x + 1)2


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