JIPMAT 2023 (QA) PYQs

If highest common factor of $x^{2}-p x-q$ and $5 x^{2}-3 p x-15 q$ is $(x-3)$, then value of ( $\left.p, q\right)$ will be :

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

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