For what value of a,x+2 is a factor of ${4 x}^{4} + 2 x^{3} - {3 x}^{2} + 8 x + 5 a$ .

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Solution

By factor theorem,Remainder $= 5 a + 20 = 0$
$\Rightarrow 5 a = - 20$
$\Rightarrow a = \frac{- 20}{5} = - 4$
$∴ a = - 4$

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