$4 x^{2}+11 x-3$ is a $\ldots \ldots$ polynomial.

Write the coefficient of $x^{2}$ in the following polynomial: $\sqrt{3} x^{2}+11$.

Factorise the following quadratic polynomial by splitting the middle term:
$x^{2}-4x-77$

Factorise: $x^{3}+x^{2}-4x-4$

Evaluate the following product without multiplying directly: $88 \times 86$.

Which of the following expressions are polynomials in one variable and which are not? State reason for your answer. If the given expression is a polynomial,state whether it is a polynomial in one variable or not: $x^{2}-8x+15$