OpenStudy (anonymous):

What are the possible rational zeros of f(x) = x4 + 6x3 – 3x2 + 17x – 15? Help me please

6 years ago
OpenStudy (amistre64):

the rational roots test might be applicable

6 years ago
OpenStudy (amistre64):

\[\pm\frac{factors.of.15}{factors.of.1}\] since the last term is 15 and the first term is 1

6 years ago
OpenStudy (anonymous):

would there be anything for the x? would it just be zero? bc thts the one thts confusing me

6 years ago
OpenStudy (amistre64):

the actual values that will zero this out can get complicated; the question is just asking what possible values there could be to test

6 years ago
OpenStudy (amistre64):

we know that whatever the actual zeros are, they have to multiply to get 15 and 1

6 years ago
OpenStudy (anonymous):

so wouldn't it be ± 1, ± 3, ± 5, ± 15?

6 years ago
OpenStudy (amistre64):

so, 15 factors into 1,3,5,15 and 1 factors into 1 which is trivial \[\pm{1,3,5,15}\]are our possible zeros to test out if need be

6 years ago
OpenStudy (amistre64):

thats correct

6 years ago
OpenStudy (anonymous):

okay thank you!!!

6 years ago