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

The remainder obtained on dividing $x^{3}+2x^{2}+3x+5$ by $x+1$ is ..............

The zeros of a polynomial $p(x) = x^{2} - 2x - 15$ are........

Are the following statements 'True' or 'False'? Justify your answers.
The only value of $k$ for which the quadratic polynomial $k x^{2}+x+k$ has equal zeros is $\frac{1}{2}$.

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

The value of $p(x) = 4x^3 + 3x^2 + 2x + 1$ at $x = 1$ is $\ldots \ldots \ldots$