## anonymous 5 years ago What are the possible rational zeros of f(x) = x4 + 6x3 – 3x2 + 17x – 15? Help me please

1. amistre64

the rational roots test might be applicable

2. amistre64

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

3. anonymous

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

4. 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

5. amistre64

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

6. anonymous

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

7. 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

8. amistre64

thats correct

9. anonymous

okay thank you!!!