The graph of a linear polynomial is a $\ldots \ldots \ldots . . . .$

If the zeroes of the quadratic polynomial $x^{2}+(a+1)x+b$ are $2$ and $-3$,then

The number of real zeros of $y=p(x)$ is ............... in the given figure.

Find the zeros of the following quadratic polynomial: $p(x) = 4x^2 - 256$.

The zeros of the quadratic polynomial $p(x) = 3x^2 + 5x - 8$ are $\ldots \ldots \ldots \ldots$

What must be added to the polynomial $p(x) = 6x^5 + 5x^4 + 11x^3 - 3x^2 + x + 1$ so that the resulting polynomial is exactly divisible by $3x^2 - 2x + 4$? (Hint: add $-r(x)$ to $p(x)$)