How do you factor x^3 - 1000?

1 Answer
Feb 10, 2016

Factors are (a-10)*(a^2-10a+100)

Explanation:

The polynomial is of the type a^3-b^3 whose standard factors are (a-b)*(a^2-a*b+b^2), as 1000 is nothing but.10^3.

Thus the polynomial can be expressed as x^3-10^3 and its factors will be

(a-10)*(a^2-a*10+10^2) or

(a-10)*(a^2-10a+100).