Relation between the zeroes and coefficient of a polynomial
A polynomial is an algebraic expression consisting of multiple terms. There are various types of polynomials such as linear, quadratic, cubic……..
A real number k is a zero of a polynomial of p(x) if p(k)= 0.
The general form of linear polynomial is p(x)=ax+b, its zero is –b/a or minus of constant term divided by coefficient of x.

General form of quadratic polynomial is ax² + bx +c.  There are two zeroes of quadratic polynomial.
Factor Theorem: If a is zero of a polynomial p(x) then (x – a) is a factor of p(x).

Sum of zeroes =   

Product of zeroes =   

General form of cubic polynomial of ax³ + bx ²+ cx + d where a≠0.  The sum of zeroes of the cubic polynomial =

Sum of the product of zeroes taken two at a time =

Product of zeroes =