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

Question

amistre64 · Answer

the rational roots test might be applicable

amistre64 · Answer

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

anonymous · Answer

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

amistre64 · Answer

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

amistre64 · Answer

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

anonymous · Answer

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

amistre64 · Answer

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

amistre64 · Answer

thats correct

anonymous · Answer

okay thank you!!!