Question

How many complex roots does 6x^4 + x^3-5 = 0 have?

Answer 1

you can use descarte's rule of signs to find this. I cant remember the detail I'm afraid...

Answer 2

I know it has something to do with the greatest power, and the constant.

Answer 3

one root is -1 so there's possibly 2 complex roots

Answer 4

find p/q , use synthetic to compress the polynomial until power 2, then use quadratic to solve. Hope it helps

Answer 5

I thought the same thing too, it only gives my the choices 3, 4, 5, and 6

Answer 6

? - i thought you could only have complex roots in pairs...

Answer 7

-1 is definitely a root

Answer 8

the greatest power is 4 so there's a total of 4 roots

Answer 9

thanks for the help guys

Answer 10

do 5 and 6 cannot be correct

Answer 11

For review:

Answer 12

with Descarts rule you count the changes of sign as you go from left to right in the polynomial
there is one change in this one

Answer 13

my guess would be 2 real roots and 2 complex

Answer 14

thank you for all your help

Answer 15

yw