Question

Which of the following is not a factor of x^3+2x^2 + x ​

Answer 1

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sorry answer was not attached

Answer 2

Let zeroes of polynomial is x+1 = -1

$p(x) = {x}^{3} + {2x}^{2} + x \\ p( - 1) = { - 1}^{3} + {2( - 1)}^{2} + ( - 1) \\ p( - 1) = - 1 + 2 - 1 \\ p( - 1) = 0$

So this prove that x+1 is a factor of x³+2x²+x.

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