Question

How do you factor completely `8x^3 + 10x^2 + 4x + 5`?

Answer 1

`(2x^2 + 1)(4x +5)`

Explanation:

Re write the expression in order to factor by grouping:
`f(x) = 8x^3 + 4x + 10x^2 + 5`
`f(x) = 4x(2x^2 + 1) + 5(2x^2 + 1) = (2x^2 + 1)(4x + 5)`