On dividing $16 x^{2}-24 x+9$ by $4 x-3,$ find the remainder.
$-1$
$0$
$2$
$4$
The polynomial $p(x)=x^{4}-2 x^{3}+3 x^{2}-a x+3 a-7$ when divided by $x+1$ leaves the remainder $19 .$ Find the values of $a .$ Also find the remainder when $p(x)$ is divided by $x+2.$
What should be subtracted from $p(x)=x^{2}+9 x+20,$ so that the resulting polynomial is divisible by $x+2 ?$
Write the coefficients of $x^{2}$ in each of the following polynomials
$x^{3}+27$
Factorise :
$3 x^{3}-x^{2}-3 x+1$
Expand
$(2 a+3 b)(2 a-5 b)$
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