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

advantages of creative thinking in the workplace​
For the function f(x) = -2x?, if the domain is {-3, 0, 3}, find the range. =-
I need help here are points
4. What was the route that the Kush child took to find his way to the pharaoh in Egypt? In what direction did he travel?​
What is Unforeseen ?JOIN GirIs for funMeeting ID: 394 767 6137 Passcode: yK66CF​​
Please help quickly, I dont understand this question.
please help me. i will mark brainliest
is y=1/15x proportional or not
Simplify the following: √5 x √12
The whale swims down 300 feet to feed and swims down 150 more feet more. What is the whale’s elevation now?