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

Why is quindlen reluctant to define anything remotely resembling a national character
18. FOOD Nate's Deli offers 3 types of bread, 3 types of meat, and 3 types of cheese. How many different sandwiches can be made with 1 type each of bread, meat,
What are proofs? How are they different from theorems?
When did the most recent Ice Age occur?​
The question is in the picture, help please.
The thermometer used to measure a rectal temperature will register in about:
How are ratios and proportions related? A proportion is the comparison of two ratios. A ratio is the comparison of two proportions. Ratios and proportions are r
f(x)= -4x²-7 find, Help Please!!a.f(x)-f(a)/x-a =b. f(x-h)-f(x)/h =
Which range of mountains runs beside the Pacific Ocean
The most common pedals found in a vehicle are _________. A. accelerator, brake, and silencer B. radio, steering wheel, and mirrors C. accelerator, brake, and