Question

what are polynomials? give one example

Answer 1

Dear Student,

Polynomials are algebraic expressions containing variables and coefficients. The terms of the polynomial are joined by the following mathematical operations :

• Addition
• Multiplication
• Subtraction

It is important to note that variable in a polynomial must have a whole number exponent. (negative powers and fractional powers are not allowed.)

Eg: $$\begin{gathered} 2x^2+5x+3isapolynomial \\ However2x^{-2}+5x+3isnotapolynomial(Negativeexponentsarenotallowedinpolynomials.) \\ \frac{2}{y^3}isnotapolynomial(as\frac{2}{y^3}=2y^{-3}.Negativeexponentsarenotallowedinpolynomials.) \\ \sqrt{x}=x^{\frac{1}{2}}.So,xhasanon-wholenumberexponent.So\sqrt{x}isnotapolynomial. \end{gathered}$$


Regards,