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

why heart is vrey important.
I need help plotting this on number line
prove. sin³A-cos³A/sinA-cosA = 1+sinAcosA​
Of the following options, select the best definition for skepticism. A. beat-up or messy B. clear and strong C. without respect D. being hesitant or disbelievin
what is the utility of tissues in multi cellular organisms
Giải phương trình 2x+6=0
why heart is vrey important.
Show the points of similarities and differences between the two supernatural stories 'a house call' and 'the loving mother'.​
What are the coordinates of point S"?
One number is eight less than a second number. Five times the first is 6 more than 6 times the second. Find the numbers. The value of the first number is _____.