Question

How do you factor `2d^3-d^2-3+6d`?

Answer 1

You may take a close look at the co-efficients.

Some rearranging:
`=(2d^3-d^2)+(6d-3)`

Then we take common things out of the brackets:
`=d^2(2d-1)+3(2d-1)`

Since inside the brackets is now the same, we may go:
`=(d^2+3)(2d-1)`

`d^2+3` cannot be factored further.