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

Are the following statements 'True' or 'False'? Justify your answers.
If all three zeroes of a cubic polynomial $x^{3}+ax^{2}-bx+c$ are positive,then at least one of $a, b$ and $c$ is non-negative.

$A$ cubic polynomial $p(x) = 4x^3 - x$ has ...... zeros.

Prove that $-2$,$4$,and $\frac{1}{2}$ are the zeros of the cubic polynomial $p(x) = 2x^3 - 5x^2 - 14x + 8$. Also,verify the relationship between the zeros and the coefficients.

Find the zeroes of the following polynomial by the factorisation method and verify the relationship between the zeroes and the coefficients of the polynomial:
$2x^2 + \frac{7}{2}x + \frac{3}{4}$

If the sum of the zeros is $-7$ and the product of the zeros is $12$,then the quadratic polynomial is $\ldots \ldots \ldots$