Question

list the possible rational roots given by the rational root theorem of P(x)=3x^3-x^2-7x+2

Answer 1

The possible rational roots are all possible factors of 2 over all possible factors of 3. So, +-1, +-1/3, +-2, +-2/3

Answer 2

Where I wrote 1 and 2, that is equivalent to 1/1 and 2/1 which simplify to 1 and 2.

Answer 3

how do you know this?

Answer 4

how can u figure this out?

Answer 5

Because you take the factors of the last term, which is 2 and get all of its factors, which are +-1 and +-2, those 4. That's for all your numerators.

Then you get all the factors of the coefficient of the highest x term which is 3. Those factors are +-1, and +-3, those four. That's for the denominator.

Now, you look at all combinations of the numerator factors over the denominator factors.

Answer 6

ohhhhh

Answer 7

thanks soo much! you are so helpful!!!

Answer 8

It's really 16 combos, but the minus and pluses make the list go down to just a handful.

Answer 9

i really appreciate it!

Answer 10

You're welcome!

Answer 11

yeah i got that :)