hello51147 hello51147
  • 04-02-2024
  • Mathematics
contestada

prove that the polynomial x^3 - x is divisible by 6 for whole number values of x

Respuesta :

naetonwoyev2 naetonwoyev2
  • 04-02-2024

Answer:

x^3 - x = x*(x-1)*(x+1),

so the left side is the product of three consecutive integer numbers.

Of them, at least one is a multiple of 2 and exactly one is a multiple of 3.

Hence, the product, which is x^3 - x, is divisible by 2*3 = 6.

Step-by-step explanation:

Answer Link

Otras preguntas

Find 4 consecutive even integers where the product of the two smaller numbers is 72 less than the product of the two larger numbers?
What is a synonym for sensory language?A.simileB.fluencyC.metaphorD.imagery im thinkin D?
A movie starts at 7:00 pm and lasts 108 minutes. What time does the movie end?
Which expression can be used to change 75 kilometers per hour to meters per minute?
Please answer:If a stadium holds 60000 people.1. If the stadium is 2/3 full, how many people are there?2. If the stadium is 3/4 full, how many people are there?
List all the commonwealth games mascots from 1982-2014
If the length of each side of a square prism is ten feet. Find the total surface area of this object
List all the commonwealth games mascots from 1982-2014
All of the following are types of lyric poetry except; A. tankas. B. ballads. C. sonnets. D. madrigals.
How many flags are in this wolld ;)