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

Obtain the value of the following polynomial at the given value of $x$: $p(x) = x^{4} + 2x^{3} - x + 2$; at $x = 2$.

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

For each of the following,find a quadratic polynomial whose sum and product of the zeroes are $\frac{21}{8}$ and $\frac{5}{16}$ respectively. Also,find the zeroes of these polynomials by factorisation.

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

Find the number of real zeros of the following polynomial: $p(x) = x^{2} - 2x$.