Question

If p,q and r are the roots of a cubic polynomial $a{x}^3+b{x}^2+cx+d$, then what will be pqr?

• A. $-\frac{b}{a}$
• B. $-\frac{d}{a}$
• C. $\frac{b}{a}$
• D. $\frac{c}{a}$

Answer 1

The correct option is B $-\frac{d}{a}$

For the cubic polynomial $a{x}^3+b{x}^2+cx+d$,

product of zeroes = $-\frac{d}{a}$

$\Rightarrow pqr=-\frac{d}{a}$ (Since p, q and r are zeroes of the given polynomial)