JIPMAT (QA) PYQs

The factors of polynomial $x^{3}-6 x^{2}+11 x-6$ are :

If $\sin (\alpha)$ and $\cos (\alpha)$ are the roots of the equation $a x^{2}+b x+c=0$, then $b^{2}$ is

If the roots of the equation $x^{2}-p x+54=0$ are in the ratio $2: 3$, then value of $p$ is: