These are numeric entry type questions. If the degrees of two polynomials f(x) and [f(x) ⋅ g(x)] are 6 and 18 , respectively, then the degree of g(x) is

Question

These are numeric entry type questions. If the degrees of two polynomials f(x) and [f(x) ⋅ g(x)] are 6 and 18 , respectively, then the degree of g(x) is (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Degree of f(x) ⋅ g(x)= Degree of f(x)+ Degree of g(x) ⇒ 6+ Degree g(x)=18 ⇒ Degree of g(x)=18-6=12

Q. These are numeric entry type questions.
If the degrees of two polynomials $f (x)$ and $[f (x) \cdot g (x)]$ are 6 and 18 , respectively, then the degree of $g (x)$ is______

Degree of $f (x) \cdot g (x) =$ Degree of $f (x) +$ Degree of $g (x)$
$\Rightarrow 6 +$ Degree $g (x) = 18$
$\Rightarrow$ Degree of $g (x) = 18 - 6 = 12$

Q. These are numeric entry type questions. If the degrees of two polynomials f(x) and [f(x)⋅g(x)] are 6 and 18 , respectively, then the degree of g(x) is______

Degree of f(x)⋅g(x)= Degree of f(x)+ Degree of g(x) ⇒6+ Degree g(x)=18 ⇒ Degree of g(x)=18−6=12

Q. These are numeric entry type questions.
If the degrees of two polynomials $f (x)$ and $[f (x) \cdot g (x)]$ are 6 and 18 , respectively, then the degree of $g (x)$ is______

Degree of $f (x) \cdot g (x) =$ Degree of $f (x) +$ Degree of $g (x)$
$\Rightarrow 6 +$ Degree $g (x) = 18$
$\Rightarrow$ Degree of $g (x) = 18 - 6 = 12$