Write $(3a + 4b + 5c)^2$ in expanded form.
Which of the following expressions are polynomials in one variable and which are not ? State reasons for your answer. $y+\frac{2}{y}$
Find the remainder when $x^{3}+3 x^{2}+3 x+1$ is divided by $x-\frac{1}{2}$
Factorise $x^{3}-23 x^{2}+142 x-120$
Find the value of $k$, if $x -1$ is a factor of $p(x)$ in this case : $p(x)=2 x^{2}+k x+\sqrt{2}$