Question

How do you factor completely `8x^3-20x^2+6x-15`?

Answer 1

`f(x) = (4x^2 + 3)(2x - 5)`

Explanation:

Factor by grouping:
`f(x) = 8x^3 - 20x^2 + 6x - 15`
`f(x) = 8x^3 + 6x - 20x^2 - 15`
`f(x) = 2x(4x^2 + 3) - 5(4x^2 + 3)`
`f(x) = (4x^2 + 3)(2x - 5)`