The total possible no. of roots of the equation $4 x^{7} + 3 x^{6} + 2 x^{5} + 9 x^{4} + 4 x^{3} + x^{2} + 9 x + 9 = 0$ is

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Solution

The given equation is $4 x^{7} + 3 x^{6} + 2 x^{5} + 9 x^{4} + 4 x^{3} + x^{2} + 9 x + 9 = 0$ .

This equation is of 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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