Question

Choose one of the factors of x15 − 64. (2 points)

Answer 1

We have been given the function $x^{15}-64$

Convert this expression in difference of cubes form.

$x^{15}-64\\=(x^5)^3-4^3$

Now, in order to find the factors, we can apply the difference of cubes form, which is given by

$x^3-y^3=(x-y)(x^2+xy-y^2)$

On applying this formula, we get

$(x^5-4)(x^{10}+4x^5+16)$

Hence, the factors of the given expression are

$(x^5-4) \text{ and }(x^{10}+4x^5+16)$

Out of the given option, A is the correct option.

x^5 − 4 is the required factor.

Answer 2

X^5-4 is the answer
hope this helped