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 is Britney Spears insane? I’m graduated so my points are up for grabs cause I’ll never use them. I have to at least as a question with it though.
How do you drown a blonde?
f+1<5 please tyyyyyyyyyyyyyyyy
3. How can this sentence be changed into a compound sentence? Wildflowers grew in the back corner of the abandoned lot. • A. Add a comma, the conjunction but an
It costs $2.50 to rent bowling shoes. Each game costs $2.25. You have $9.25. Write and solve an equation to find out how many games you can bowl.
2+2 Im graduated, so my points are up for grabs cause I’ll never use them
26. Which of the following is an equation for the line that is perpendicular to the line y = 2x - 9 and passes through the point (-4,5)? A. y = 2x+7 B. y = -1/
Please help me with all I will mark you brainly
f+1<5 please tyyyyyyyyyyyyyyyy
Solve the equation. 1 1 ²x+3-2x = 4+²x+5 4 If necessary: Combine Terms Apply properties: Add Multiply To start over: Subtract Reset Divide​