From the following figure,find the number of real zeros of $y=p(x)$ :

The degree of $p(x) = \dots$ is $5$. Which of the following polynomials satisfies this condition?

Draw the graph of $p(x) = 3 - 2x - x^2$ and find the zeros of this polynomial.

Verify that $\frac{-2}{3}$ is a zero of the linear polynomial $p(x)=3x+2$.

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

Obtain a quadratic polynomial $p(x) = ax^2 + bx + c$,where the sum of zeros is $\sqrt{2}$ and the product of zeros is $\frac{1}{3}$,given that $a < 0$.