Answer:
The factor form of the given polynomial is \(2x(2x-1)(2x+1)\)
Step-by-step explanation:
The given expression is
\(8x^3-2x\)
Taking out the common factor 2x.
\(8x^3-2x=2x(4x^2-1)\)
\(8x^3-2x=2x((2x)^2-(1)^2)\)
Using the algebraic formula:
\(a^2-b^2=(a-b)(a+b)\)
We get,
\(8x^3-2x=2x(2x-1)(2x+1)\)
All the factors are prime polynomial because they can not be factored further.
Therefore the factor form of the given polynomial is \(2x(2x-1)(2x+1)\).