Find the value of $k,$ if $x-1$ is a factor of $4 x^{3}+3 x^{2}-4 x+k$.
Find the value of the polynomial $5x -4x^2+ 3$ at $x = 0$.
Use suitable identities to find the products : $\left(y^{2}+\frac{3}{2}\right)\left(y^{2}-\frac{3}{2}\right)$
Which of the following expressions are polynomials in one variable and which are not ? State reasons for your answer. $y^{2}+\sqrt{2}$
Evaluate the following using suitable identities : $(102)^{3}$