Determine which of the following polynomials has $(x + 1)$ a factor : $x^{3}+x^{2}+x+1$.
Find the value of $k,$ if $x-1$ is a factor of $4 x^{3}+3 x^{2}-4 x+k$.
Factorise : $2 y^{3}+y^{2}-2 y-1$
What are the possible expressions for the dimensions of the cuboids whose volumes are given below?$\boxed{\rm {Volume}\,:12 k y^{2}+8 k y-20 k}$
Factorise $x^{3}-23 x^{2}+142 x-120$