The roots of $x (x^{2} + 8 x + 16) (4 - x) = 0$ are

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0, 4

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0, 4, -4

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0, 4, -4, -4

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none of these

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Solution

The correct option is B 0, 4, -4
$⟹ x (x^{2} + 8 x + 16) (4 - x) = 0 ⟹ x {(x + 4)}^{2} (4 - x) = 0$
$∴$ Roots of the given equation are x = 0, -4, 4

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