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

The product of two polynomials is $x^{5}+3x^{4}+5x^{3}+3x^{2}+9x+15$. If one of them is $x^{2}+3$,find the other polynomial.

Find the zeros of the following quadratic polynomial: $p(x) = x^{2} + x - 12$.

Given that two of the zeroes of the cubic polynomial $ax^3 + bx^2 + cx + d$ are $0$,the third zero is

Prove that $-6, -\frac{1}{2}$ and $1$ are the zeros of the cubic polynomial $p(x) = 2x^3 + 11x^2 - 7x - 6$. Also,verify the relationship between the zeros and the coefficients.

For the quadratic polynomial $p(x) = ax^2 + bx + c$; if $a = 6$,$b = 11$,and $c = 4$,then the quadratic polynomial is..........