According to the rational root theorem, which of the following are possible roots of the polynomial function below? f(x) = 8x2-3x2 + 5x + 15

5, -1/4, -3, and 5/2

Step-by-step explanation:

All you need to do is look at leading term and constant term.  The possible rational zeros are the factors of 15 over (fraction bar) factors of 8.

So the factors of 15:

-1,1,-3,3,-5,5,-15,15

The factors of 8:

-1,1,-2,2,-4,4,-8,8

So the possible rational zeros I'm just going to put the factors of 15 over the factors of 8 like so:

-1/-1=1

-1/1=-1

-1/-2=1/2

-1/2=-1/2

-1/-4=1/4

-1/4=-1/4

-1/-8=1/8

-1/8=-1/8

Now I'm going to go to 1 and put it all over the factors of 8.

Anyways I can see some of your choices there 5/1=5 , I already listed the -1/4 above, -3/1=-3, and 5/2.

If you are still confused what I did all I'm doing is putting the first list of factors I made over (fraction bar) the second list of numbers I made.

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