If one factor of $x^{3}+4 x^{2}+8 x+a$ is $(x+2)$,then find the value of $a$.

State the degree of the following polynomial: $p(x) = (x^{1/2})^{50} - 5x^{10} - 9x^2 + 15$.

Obtain the quadratic or the cubic polynomial as the case may be in the standard form with the following coefficients: $a=2, b=3, c=-5, d=0$.

Which of the following is a quadratic polynomial?

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

Prove that $x+2$ is a factor of $p(x)=2x^{3}-4x^{2}+5x+42$.