Find the value of the polynomial $x^{2}-7x+12$ at $x=1$.

Expand $(3x + 7)(-3x + 7)$.

Classify the following as linear,quadratic,or cubic polynomial: $x^{3}+2x^{2}+3x+2$.

With the help of the remainder theorem,find the remainder when the polynomial $p(x) = x^{3} + x^{2} - 26x + 24$ is divided by the divisor $x - 1$.

Give an example of a polynomial,which is:
$(i)$ monomial of degree $1$
$(ii)$ binomial of degree $20$
$(iii)$ trinomial of degree $2$

Verify whether the following is True or False:
$-\frac{4}{5}$ is a zero of $4-5y$.