Which of the following is not a factor of $x^{3}$ + 2 $x^{2} + x$ ?

x + 2

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x + 1

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$(x + 1)^{2}$

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Solution

The correct option is A
x + 2

Let p(x) = $x^{3}$ + 2 $x^{2} + x$

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

p(x) = $x^{3}$ + 2 $x^{2} + x$ = $x (x + 1)^{2}$ {Using long division method}

Therefore, the factors of p(x) are x, (x+1) and $(x + 1)^{2}$

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