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

Can anyone give me a complete summary of the Anne Frank book. Or just the most important, must know parts to look for? Thank you!
Evaluate 2(a + 3b) for a = -1 and b = 5. 2(a + 3b) =
Solve Number 14 Find the value of x
Helppppppppp !!!!!!!!!!!
can someone help me with this?
How and why did modern humans succeed and populate most regions of the world?
3 Difference between architect and engineer,​
can someone show me how this problem would work out? I dont just want an answer I want to see how this problem is worked out. Thank you
Right ΔABC has legs of lengths 4 ft and 7 ft. What is the length of the triangle’s hypotenuse?
A story that ends in just then the principal walked in