enriquezbea46 enriquezbea46
  • 23-02-2022
  • Mathematics
contestada

given that (x-2) is a factor of (x³-8) ,what is the other factor?​

Respuesta :

iciclepiano18
iciclepiano18 iciclepiano18
  • 23-02-2022

Answer:

[tex]x^2+2x+4[/tex]

Step-by-step explanation:

This expression can also be written as a difference of cubes:

[tex]x^3-2^3[/tex]

A important formula to remember is:

[tex]a^3-b^3=(a-b)(a^2+ab+b^2)[/tex]

We can use this to factor this expression:

[tex]x^3-2^3=(x-2)(x^2+2x+4)[/tex]

Therefore the other factor is:

[tex]x^2+2x+4[/tex]

Answer Link

Otras preguntas

There were 45 runners to start a race. In the first half of the race 1/3 of them dropped out. In the second half of the race, 3/5 of the remaining runners dropp
Read the sentence. the driving test examiner told me to turn right and park, and then i almost hit a tree, and then he screamed. which revision corrects the fau
You are on a boat which is crossing the prime meridian. the altitude of polaris is 50º.explain how you know the boat's location is 50º north latitude and 0º
The organelles responsible for protein synthesis are known as __________ and the organelles that assist with the breakdown of proteins are called __________.
a glass marble has a mass of 18.5 g and a volume of 6.45 cm^3
which two statements our true about american revolution
Why did many indian nations side with the british during the american revolution?
Why was the ipv6 protocol created for ip addresses?
Describe how to model -3x + 7= 28 with algebra tiles
which physical feature do you think would have the most impact on life in the United States and Canada?Why?