Question

Solve the equation z^5-6z^3-2z^2+17z-10=0

Answer 1

put z=1
as the answer will be 0, (z-1) will be a factor and z=1 will be a solution

Answer 2

Use the rational roots theroem and descartes something. Please don't make us do that for you.

Answer 3

1,2

Answer 4

try synthetic division

Answer 5

there will be 5 roots, some real, some imaginary

Answer 6

So, how do you find the others, when one is (z-1)?

Answer 7

Use Ruffini's rule.

Answer 8

synthetic division...or graph it and see where it crosses the x_axis :)

Answer 9

since you already know 1 works, start from there

Answer 10

Thanks :)

Answer 11

Thanks guys! I understand now :D