SOLUTION: I need to factor this one. I think the answer is (10X+1)(100X^2+10x+1), but I don't know how to show why. thanks! 1000X^3+1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need to factor this one. I think the answer is (10X+1)(100X^2+10x+1), but I don't know how to show why. thanks! 1000X^3+1      Log On


   

Question 76080: I need to factor this one. I think the answer is (10X+1)(100X^2+10x+1), but I don't know how to show why. thanks!
1000X^3+1
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
you could show it by multiplying the two factors you found to see if they equal the original expression

if you do this, you will see that the sign of the 10x term in the second factor should be negative