Find the total possible number of roots of the equation $4 x^{7} + 3 x^{6} + 2 x^{5} + 9 x^{4} + 4 x^{3} + x^{2} + 9 x + 9 = 0$

4

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0

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7

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3

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Solution

The correct option is C $7$
Given equation: $4 x^{7} + 3 x^{6} + 2 x^{5} + 9 x^{4} + 4 x^{3} + x^{2} + 9 x + 9 = 0$

Here, the equation has a degree $7.$

$∴$ According to the fundamental theorem of algebra, an $n$ degree equation will have a total of $n$ roots.

$\Rightarrow$ The total no. of roots of this equation is $7$

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