Factor 2x^3-128

2x3-128

#1

Factor 2x^3-128

Answer:

To start this problem you must know that there are formulas for this kind of factorization… Here they are.
(a^3)+(b^3)=(a+b)((a^2)-ab+(b^2))… or
(a^3)-(b^3)=(a-b)((a^2)+ab+(b^2))
In this case, we will be using the second formula.
We can factor out a GCF(Greatest Common Factor) in this problem.
Which is 2.
So… 2((x^3)-64)
“a” represents the number thats cubed to get x^3…
(x)(x)(x)=x^3
So in this case a=x
"b" represents the number thats cubed to get 64…
4x4x4=64
So in this case b=4.
So now using our formula we can easily factor our problem.
(a+b)((a^2)-(ab)+(b^2))
2(x-4)((x^2)+4x+16) and thats as far as you can factor without using the quadratic formula.