The graph of $p(x) = x^2 - 9$ intersects the $X$-axis in .......... distinct points.

The product of two polynomials is $x^{2}-x-72$ and if one of the polynomials is $(x+8)$,then the other polynomial is $\ldots \ldots \ldots \ldots . .$

Are the following statements 'True' or 'False'? Justify your answers.
If two of the zeroes of a cubic polynomial are zero,then it does not have linear and constant terms.

Divide $x^{3}-3x^{2}+5x-3$ by $x^{2}-2$.

The degree of $p(x) = x^2(1 + x + x^2) + 5$ is.............

Find the division of the following by synthetic division method: $p(x) = x^{4} - a^{4}$ by $x - a$.