Question

Which of the following is a factor of $x^3+3n{x}^2-3mnx-m^3$ ? (where $p$ and $q$ are constants)

• A. $x+m$
• B. $x+n$
• C. $x-m$
• D. $x-n$

Answer 1

Answer: (C)

Let, $f(x)=x^3+3m{x}^2-3mnx-n^3$
From the options,
$f(m)=m^3+3n{m}^2-3n{m}^2-m^3$
Hence, $x-m$ is a factor of $f(x)$.