Check whether the polynomial $q(t)=4 t^{3}+4 t^{2}-t-1$ is a multiple of $2 t+1$.
Which of the following expressions are polynomials in one variable and which are not ? State reasons for your answer. $x^{10}+y^{3}+t^{50}$
Divide the polynomial $3 x^{4}-4 x^{3}-3 x-1$ by $x-1$.
Evaluate $105 \times 106$ without multiplying directly.
Determine which of the following polynomials has $(x + 1)$ a factor : $x^{3}+x^{2}+x+1$.