Question

$a{x}^3+b{x}^2+cx+d=0$ is said to be cubic polynomial if _________.

• A. $d\ne 0$
• B. $c\ne 0$
• C. $b\ne 0$
• D. $a\ne 0$

Answer 1

The correct option is D $a\ne 0$

A polynomial $f\left(x\right)=a_n{x}^n+a_{n-1}{x}^n-1+...a_{1}x+a_0$ is said to be a polynomial of degree $n$ if the coefficent of the leading term is not equal to zero i.e. $a_n\ne 0$.

Therefore in the given equation $a\ne 0$

Therefore, Option D is correct.