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If $(x + 2)$ and $(x + 3)$ are factors of $x^{3} + a x + b$ , then the value of $a + b$ is

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Detailed Solution

$f (x) = x^{3} + a x + b f (- 2) = 0, f (- 3) = 0 - 2 a + b = 8 & - 3 a + b = 27 \Rightarrow a = - 19, b = - 30$

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