Write the following cubes in expanded form
$(2 x+7)^{3}$
$8 x^{3}+343+84 x^{2}+294 x$
Examine whether $2 x+3$ is a factor of $2 x^{3}+21 x^{2}+67 x+60$ or not.
On dividing $x^{3}+a x^{2}+19 x+20$ by $(x+3),$ if the remainder is $a,$ then find the value of $a$.
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 $x+2.$
Find $p(-2)$ for the polynomial $p(x)=5 x^{2}-11 x+3$
Evaluate
$(215)^{2}$
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