Divide the polynomial x^3−a^3 by x−a. Which polynomial identity does this establish?(1 point)

Question

1. x^3-a^3=(x-a)(x^2+ax+a^2)
2. x^3-a^3=(x-a)(x^2-ax-a^2)
3. x^3-a^3=(x-a)(x^2+ax-a^2)
4. x^3-a^3=(x-a)(x^2-ax+a^2)

Answer 1

The correct polynomial identity established by dividing x^3−a^3 by x−a is:

1. x^3-a^3=(x-a)(x^2+ax+a^2)