Find $p(1), p(2)$ and $p(4)$ for each of the following polynomials
$p(x)=x^{3}+9 x^{2}+23 x+15$
$p(1)=48, p(2)=105, p(4)=315$
Factorise $10 x^{2}-x-24$ by splitting the middle term.
Write the coefficient of $x^{2}$ in each of the following:
$(i)$ $\frac{\pi}{6} x+x^{2}-1$
$(ii)$ $3 x-5$
$4 x^{2}-20 x+25=(\ldots \ldots \ldots)^{2}$
If the polynomial $a x^{3}+4 x^{2}+3 x-4$ and polynomial $x^{3}-4 x+a$ leave the same remainder when each is divided by $x-3,$ find the value of $a$.
Degree of the polynomial $4 x^{4}+0 x^{3}+0 x^{5}+5 x+7$ is
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