Question

list all rational roots of (3x^3)+(2x^2)+x-4=0

Answer 1

First list all potential roots.
For \(\Large ax^3 + bx^2 + cx + d\), the potential roots are:

\(\Large \pm \frac{\text{factors of } d}{\text{factors of } a}\)

Answer 2

so I have 4/3, -4/3, 4, -4, 1/3, -1/3, 1, -1, 2/3, -2/3, 2 -2

now what?

Answer 3

Those are the potential roots. I will arrange them in increasing order and leave it at that.

If they had asked for the actual roots, then you would test each potential root with f(x) to see if it is indeed a root.

Answer 4

okay thanks!

Answer 5

you are welcome.