Question

Which shows one way to determine the factors of 4x^3+x^2-8x-2

Answer 1

For this case we must factor the following expression:

`4x ^ 3 + x ^ 2-8x-2`

We group the first two and the last two terms:

`(4x ^ 3 + x ^ 2) + (- 8x-2)`

We factor the highest common denominator of each group:

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

We take the common factor
`4x + 1:`

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

Answer:

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