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. x3x2 + 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.


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