Question

f(x)=13x^4-4x^3+4x^2+9x+14
List all zeros for function
PLEASE HELP FINAL TOMORROW

Answer 1

this equation has no real roots All 4 roots are complex

Answer 2

"List all zeros" or "List all POSSIBLE zeros" of the function?
We can list all possible zeros using the rational roots theorem.
But none of them will be the actual zeros.

Answer 3

oh, list all possible zeros

Answer 4

it is +/- factors of the constant term, which is 14 divided by factors of the leading coefficient, which is 13.
Factors of 14: 1, 2, 7, 14
Factors of 13: 1, 13
Possible zeros:\[
\pm \frac{1, 2, 7, 14}{1,13}
\]

Answer 5

http://www.wolframalpha.com/input/?i=solve++13x%5E4+-+4x%5E3%2B4x%5E2%2B9x%2B14+%3D+0

Answer 6

So the list of POSSIBLE factors is:\[
\pm 1, \pm\frac{1}{13}, \pm 2, \pm\frac{2}{13}, \pm 7, \pm\frac{7}{13}, \pm 14, \pm\frac{14}{13}.
\]

Answer 7

thank you!!

Answer 8

you are welcome.