Answer:
the factors of x^3-1 are [tex]x^3 -1 = (x-1) (x^2 +x+1)\\[/tex]
Step-by-step explanation:
We need to find factors of x^3 -1
[tex]x^3-1 \\(x)^3 -(1)^3\\We \,\, know\,\, a^3 -b^3 = (a-b) (a^2 +ab + y^2) \\So, \,\, using\,\, the \,\, formula\,\,\\Here\,\, a= x \,\,and\,\, b= 1\\(x)^3 -(1)^3 = (x-1) (x^2 +x+1)\\[/tex]
So, the factors of x^3-1 are [tex]x^3 -1 = (x-1) (x^2 +x+1)\\[/tex]
