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 ...
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 ...