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

Answer the following and justify: What will be the quotient and remainder on division of $ax^{2} + bx + c$ by $px^{3} + qx^{2} + nx + s$,where $p \neq 0$?

State the degree of the given polynomial: $p(x) = 5x - 2x^2 + 3$

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

Find $k$ such that $x^{2}+2x+k$ is a factor of $2x^{4}+x^{3}-14x^{2}+5x+6$. Also,find all the zeroes of the two polynomials.

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