Competitive Maths

Sum and Product of roots/zeroes of a polynomial-                          Standard quadratic equation of a polynomial is ax 2 +bx+c=0, where a, b,c is constant.    Let α and β are roots of a polynomial then factors are (x- α ) (x- β) = 0                                                                                        x 2 -xβ-xα+αβ=0                                                           ...

Polynomial – An expression containing variable and constant, power of variable must be whole number. For example     3+x 2 , 4+6x 2 Standard representation of polynomial--                                          a 0 +a 1 x+a 2 x 2 +a 3 x 3 +-----------a n x n         where a 0 , a 1 , a 2 , ……… a n are real number and also called coefficient of polynomial and n is whole number. Checking polynomial----- its true or false ü   X 2 +2x+1 ü   X+1/x   √   x+1/2 Degree of polynomial— In polynomial highest power of variable is called degree of polynomial. Based on degree there are mainly three types of polynomial 1 .Linear polynomial — a polynomial having degree is 1 is called linear polynomial ...

2+3=5 1+11=12