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

NEED AN ANSWER NOW!! ITS WORTH THE POINTS!! DUE TODAY AT 10!!!!! The grid above shows the graph of the parent function and a translated functions graph. Write
which organization was created to help blacks after the end of slavery?
I don't get what they mean by writing an opinion Can I get some help?
List 1 inherited trait that is ONLY based on genetics and is NOT affected by the environment in any way.
In 1860 the small towns became a city. true or false
A barbar wants to set up a salon in a room measuring length of 3m by 3m .He has a simple wooden chair,3 large mirrors and one bulb . a) using the knowledge of s
Roxy's new employer pays employees bimonthly, which is twice a month. She'll earn $30 per hour with the new company. She plans to continue making extra money by
9,835/63 what is the answer and what is the remainder
If x is 4, a is 1/4, and y is 2, then what is 5x(56a-6y)
Answer number 5 a,b,c,d,e pls thanks