Question

Say true or false.

If two of the zeroes of a cubic polynomial are zero, then it does not have linear and constant terms.

• A. True
• B. False

Answer 1

The correct option is A True

True.
Let the general cubic polynomial be $a{x}^3+b{x}^2+cx+d=0$ and $\alpha ,\beta$ and $\gamma$ are roots of the polynomial
Linear term of polynomial implies to the coefficient of $x$, ($c$ in the above equation), and the constant term implies to the term independent of $x$, ($d$ in above equation).
Given, two zeroes of the cubic polynomial are zero. Let two zeros ie.,$\beta ,\gamma$ =0.

$f\left(x\right)=(x-\alpha )(x-\beta )(x-\gamma )$

$f\left(x\right)=(x-\alpha )(x-0)(x-0)$

$f\left(x\right)=(x-\alpha )\left(x^2\right)$

$\left(f\right(x)=(x^3-x^2\alpha )$

then the equation does not have linear term (coefficient of $x$ is $0$) and constant term.