Question

Choose one of the factors of x15 – 64

x5 – 4

x10 – 4x5 + 16

x10 – 4

x15 + 8x + 16

Answer 1

i think its x^5 - 4
- ill try long division

Answer 2

we can write x^15-64 = (x^5)^3-4^3
now according to the identity a^3-b^3=(a-b)(a^2+ab+b^2)
so x^15-64= (x^5-4)(x^10+4x^5+16)
therefore x^5-4 is a factor and the answer.

Answer 3

yes long division gives (x^5 - 4)(x^10 + 4x^5 + 16)