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

Are the following statements 'True' or 'False'? Justify your answers.
The only value of $k$ for which the quadratic polynomial $k x^{2}+x+k$ has equal zeros is $\frac{1}{2}$.

If the sum of the zeros is $2$ and the product of the zeros is $3,$ then the quadratic polynomial is........

One of the factors of $p(x) = x^{3} + 2x^{2} + 3x + 2$ is:

Find the number of real zeros of the following polynomial: $p(x) = 4x^2 + 11x + 10$.

Find the number of real zeros of the polynomial $y = p(x)$ from the given figure.