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

which ordered pairs are a solution to the equation? y=2×-3 select all that apply (4,2) (1,-1) (-1,-7) (2,1)​
Select which type of polygon this figure is.
Band C are sets of real numbers defined as: B={v|v<_4} C={v|v>9 Write using interval notation
What is error in sentence? There's over forty different toppings to choose from at JJ's Pizza Emporium! Which is your favorite?
please describe the government of the abbasid caliphate
What is The function of x
Help asap I will give you points ​
Use the net to determine the total surface area
Nine more than the quotient of a number and 7 is equal to 4
2/9 of the students in school are 6th graders. How many students are in the school if 42 of them arr 6th graders​