Bomarie02
Bomarie02 Bomarie02
  • 03-10-2019
  • Mathematics
contestada

Which of the following is a factor of x^15 - 64

A) x^5 - 4
B) x^10 - 4x^5 + 16
C) x^10 - 4
D) x^15 + 8x + 16​

Respuesta :

jimrgrant1 jimrgrant1
  • 03-10-2019

Answer:

A

Step-by-step explanation:

[tex]x^{15}[/tex] - 64 ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²)

Hence

[tex]x^{15}[/tex] - 64

= ([tex]x^{5}[/tex])³ - 4³

= ([tex]x^{5}[/tex] - 4)([tex]x^{10}[/tex] + 4[tex]x^{5}[/tex] + 16)

Thus A is a factor

Answer Link

Otras preguntas

34 + 3 ⋅ 5 = ____. (Input whole numbers only.)
what divides our planet into the northern hemisphere and southernhemisphere
If Mei has earned 30 points, write and solve a multiplication equation to find how many books she need to read.
Programmed decisions can be delegated. a. true b. false
Which of the following natural hazards occur more frequently in East Asia than in any other part of the world?a. Monsoons b. Earthquakes c. Volcanoes d. Tropica
Geometry help.... Please I really suck at it... I will do anything if u can help me
When did the second great awakening occur?
x dy/dx +2y =x^2logx by using Bernoulli's Equation
What is the equilibrium constant for the acid-base reaction between ammonia and acetic acid?
What is the central argument in Lake's letter ; An Indian Father's Plea