The zero of the polynomial $p(x) = bx + m$ is $\ldots \ldots \ldots$

Find the zero of the polynomial in the following case:
$p(x) = \frac{2}{3}x + \frac{5}{4}$

Find the quotient and the remainder when $2x^{2}-7x-15$ is divided by $2x+1$.

One of the factors of $(25 x^{2}-1)+(1+5 x)^{2}$ is

Verify whether the following is True or False:
$-\frac{1}{3}$ is a zero of $3x + 1$.

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