Please help explain what a polynomial is and what a coefficient of a polynomial is.

Also please don't just post a wikipedia article, Thanks!

ColdplayMX
Aug 21, 2018

#1**+2 **

Coefficients are the numbers infront of a varible. A polynominal can only use addition, subtraction, multiplication (doesn't have to use all of them). The exponents of a polynominal cannot be negative. Normally they are in the form \(ax^2 + bx +c\) but doesn't have to be.

Examples: x^2 + 2x +5,

5x +1

(x^7 + 2x^4 - 5) * 3x

Lightning
Aug 21, 2018

#2**+2 **

A polynomial is an expression in one (ore more) variables

The exponent on each variable must be a whole number [ 0, 1, 2, 3....]

The polynomial must have a finite number of terms

Examples

6x^2 + 2x + 8

(4/5)x^3y^5 + 2y^2 + 3x - 9/13

The red entries are coefficients [ real numbers associated with each variable term]

The blue entries are constants

CPhill
Aug 21, 2018