Factorize the following polynomial: $p(x) = 25x^2 - 40x + 16$.

Are the following statements 'True' or 'False'? Justify your answers.
If the graph of a polynomial intersects the $x$-axis at exactly two points,it need not be a quadratic polynomial.

Examine the validity of the statement: $(x+3)$ is a factor of $x^{3}+6x^{2}+5x-12$.

$p(x) = 3x^2 + 7x + 4$ is a $\dots$ polynomial.

Draw the graph of $p(x) = 2x - 5$ and find the zeros of this polynomial.

For each of the following,find a quadratic polynomial whose sum and product of the zeroes are as given respectively. Also,find the zeroes of these polynomials by factorisation.
Sum of zeroes $= -\frac{8}{3}$,Product of zeroes $= \frac{4}{3}$