1.   Polynomials of degrees 1, 2 and 3 are called linear, quadratic and cubic polynomials respectively.
	i.e, Linear polynomials: $ax+b$
	quadratic polynomial: $ax^2+bx+c$
	cubic polynomial : $ax^3+bx^2+cx+d$

2.   A quadratic polynomial in ${x}$ with real coefficients is of the form ${ax^2 + bx + c}$, where a, b, c
	are real numbers with a ≠ 0.
	
3.   The zeroes of a polynomial ${p(x)}$ are precisely the x-coordinates of the points, where the graph 
     of ${y = p(x)}$ intersects the x -axis.Zeros of a linear polynomial $ax + b$ is ${-b/a}$
	 
4.   In general, given a polynomial $p(x)$ of degree  $n$, the graph of $y=p(x)$ intersects the  x-axis at atmost $n$ points.
    Therefore, a polynomial p(x) of degree $n$ has at most $n$ zeroes.A quadratic polynomial can have at most 2 zeroes
	and a cubic polynomial can have at most 3 zeroes.

5.   If α and β are the zeroes of the quadratic polynomial ${ax^2 + bx + c}$, then
     α  +β = ${-b/a}$
        αβ =  ${c/a}$

6.  If α, β, γ are the zeroes of the cubic polynomial $ax^3+bx^2+cx+d$, then
   α  +β +  γ  =  ${-b/a}$
   αβ+ β γ +  γ α  = ${c/a}$   and
   αβ γ  =  ${-d/a}$

7.  The  division  algorithm  states  that  given  any  polynomial  ${p(x)}$  and  any  non-zero polynomial ${g(x)}$, 
    there are polynomials ${q(x)}$ and ${r(x)}$ such that
             ${p(x)= g(x)q(x) + r(x)}$,
    where        ${r(x) =  0 }$ or  degree ${r(x)}$ < degree  ${g(x)}$.