If $x^5+2x^4+x+6$is divided by g(x), and quotient is $x^2+5x+7$, then the positive degree of g(x) is :

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If $x^5+2x^4+x+6$ is divided by g(x), and quotient is $x^2+5x+7$ , then the positive degree of g(x) is :

Answer:

$g(x)=\frac{x^5+2x^4+x+6}{x^2+5x+7}$

To find the degree consider $x^5/x^2$

$\frac{x^5}{x^2}=x^{5-2}=x^3$

Degree of g(x) =3

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