Write the coefficient of $x^{2}$ in the following polynomial:
$4+7x+3x^{2}$

If the polynomials $ax^3 + 4x^2 + 3x - 4$ and $x^3 - 4x + a$ leave the same remainder when each is divided by $x - 3$,find the value of $a$.

By the Remainder Theorem,find the remainder when $p(x)$ is divided by $g(x)$,where $p(x) = 4x^3 - 12x^2 + 14x - 3$ and $g(x) = 2x - 1$.

Evaluate using suitable identities: $(998)^{3}$

Expand $(x+5y)(x-5y)$.

If $x+1$ is a factor of the polynomial $2x^2+kx$,then the value of $k$ is