Write the coefficient of $x^{2}$ in each of the following:

$(i)$ $(x-1)(3 x-4)$

$(ii)$ $(2 x-5)\left(2 x^{2}-3 x+1\right)$

The polynomial $p(x)=x^{4}-2 x^{3}+3 x^{2}-a x+3 a-7$ when divided by $x+1$ leaves the remainder $19 .$ Find the values of $a .$ Also find the remainder when $p(x)$ is divided by $x+2.$

With the help of the remainder theorem, find the remainder when the polynomial $x^{3}+x^{2}-26 x+24$ is divided by each of the following divisors

$x-6$

State whether each of the following statements is true or false

$x^{2}-5 x+4$ is a linear polynomial.

Classify the following as a constant, linear,quadratic and cubic polynomials:

$t^{2}$