Question

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 :

• A. 2
• B. 3
• C. 4
• D. 5

Answer 1

Answer:

B. 3

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

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

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

Degree of g(x) =3