Question

If $2$ and $3$ are two zeroes of $x^3-5x^2+6x$, then find the third zero of the polynomial.

• A. $1$
• B. $4$
• C. $5$
• D. $0$

Answer 1

The correct option is D $0$

Let the third root be $p$.

Since sum of roots $=-\frac{\text{coefficient of}{x}^2}{\text{coefficient of}{x}^3}$

$\Rightarrow 2+3+p=-\frac{-5}{1}$

$\Rightarrow 5+p=5$

$\Rightarrow p=0$

So, the third zero is $0$.

Option $D$ is correct.