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

Identify landform E explain how it forms and tell whether it is the result of erosion or deposition
In most of the Spiderman films, the viewer knows that Peter Parker is actually a superhero, but his character manages to hide that from those around him. His be
What evidence from the text tells you the kumu hula is stern?
A vegetable and a surrounding path are shaped like a square that together are 11 ft wide. The path is 2 feet wide. If one bag of gravel covers 9 square feet, h
Need help on focus on writing pleaseeeee
Nucleotides, which are the building blocks of nucleic acids, consist of a phosphate group, a nitrogenous base, and a
Find the y-intercept of the parabola y = x2 - 5.
if the pattern below follows the rule "starting with 10,every consecutive line has a number one less than the previous line." how many marbles must be in the si
What is the next step in the scientific method, following forming a hypothesis?
An example for curvilinear motion.