Question

If degree of each of f(x) and [f(x)+g(x)] is 18 then find the range of degree of g(x)

• A. $18$
• B. $\ge 18$
• C. $\le 18$
• D. can't say

Answer 1

Answer: (C)

$\le 18$

Since degree of $f\left(x\right)$ is $18$, any higher degree term in $g\left(x\right)$ will cause degree of $f\left(x\right)+g\left(x\right)$ to be greater than 18 which is untrue.

Hence degree of $g\left(x\right)\le 18$