|Class 9 Maths Polynomials||Polynomials in One variable|
Polynomials in One variable
Area of a square can be represented using polynomial p(x)=x2
Perimeter of Square can be represented using Polynomial q(x)= 4x, where x is variable
Area of a circle can be represented using polynomial q(r)=πr2
Perimeter of circle can be represented using Polynomial q(r)=4πr , where r is variable
Notice that all the four polynomials above have only one variable. Such kinds of polynomials are called polynomials in one variable. E.g. x3 – x2 + 6x + 9
A polynomial p(x) in one variable x is an algebraic expression in x of the form p(x) = anxn + an–1xn – 1 + . . . + a2x2 + a1x + a0, where a0, a1, a2, . . ., an are constants and an ≠ 0. Note that the exponents are non negative integers.