Question

Write the following polynomials in the standard form:

$1+5x-2x^2-\frac{1}{6}{x}^3$

Answer 1

An expression of the form $a_0{x}^n+a_1{x}^{n-1}+a_2{x}^{n-2}+...+a_n$ where $a_0,a_1,a_2,...,a_n$ are real numbers and $n$ is a whole number, is called a polynomial.

Standard form: If the terms of a polynomial are written in ascending or descending powers of variable.

Given polynomial $1+5x-2x^2-\frac{1}{6}{x}^3$ can be written in standard form as $-\frac{1}{6}{x}^3-2x^2+5x+1$.

Hence, the standard form is $-\frac{1}{6}{x}^3-2x^2+5x+1$.