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If x=a is a...

Question

If $x = a$ is a factor of $x^{3} - 3 x^{2} a + 2 a^{2} x + b$ then the value of $b$ is

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Solution

$x = a$ is root
So
$(a)^{3} - 3 (a)^{2} a + 2 a^{2} (a) + b = 0$
$a^{3} - 3 a^{3} + 2 a^{3} + b = 0$
$b = 0$ .

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