Every quadratic polynomial has at the most ......... zero/s.

Which of the following is a cubic polynomial?

Given that the zeroes of the cubic polynomial $x^{3}-6x^{2}+3x+10$ are of the form $a, a+b, a+2b$ for some real numbers $a$ and $b$,find the values of $a$ and $b$ as well as the zeroes of the given polynomial.

Prove that $-2$,$4$,and $\frac{1}{2}$ are the zeros of the cubic polynomial $p(x) = 2x^3 - 5x^2 - 14x + 8$. Also,verify the relationship between the zeros and the coefficients.

Which of the following is not a polynomial in variable $x$?

Find the zeros of the following quadratic polynomial: $p(x) = 3x^2 + 15x$. (in $, -5$)