Question

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

Answer 1

the rational roots test might be applicable

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

thats correct

Answer 9

okay thank you!!!

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