Question

What are the conditions for a polynomial $f\left(x\right)=a{x}^3+b{x}^2+cx+d$ to be a cubic equation?

• A. $f\left(x\right)=0$
• B. All of the above
• C. $a\ne 0,a\in R$
• D. $\text{b, c and d should not be zero}$

Answer 1

Answer: (A), (C)

$a\ne 0,a\in R$

Conditions for a polynomial $f\left(x\right)=a{x}^3+b{x}^2+cx+d$ to be a cubic equation.

Coefficient of $x^3$ should not be zero.
$\Rightarrow a\ne 0,a\in R$
and
f(x) = 0.