Question

find all the zeros of the equation.
x^4 -6x^2 -7x -6=0

Answer 1

you can use a graphing calculator online

Answer 2

i dont know how to use a graphing calculator.

Answer 3

https://www.desmos.com/calculator

Answer 4

i will show you :)

Answer 5

okay :)

Answer 6

in the white box, type
x^4 -6x^2 -7x -6

Answer 7

you can copy and paste this
x^4 -6x^2 -7x -6

Answer 8

where it says 1.

Answer 9

okay
did that

Answer 10

now point to the x intercepts

Answer 11

those are the 'solutions' or 'roots' of the equation

Answer 12

also called 'zeros' of the equation

Answer 13

so -2 and 3 are my zeros?

Answer 14

correct

Answer 15

okay. can i find the zeros if i factor?

Answer 16

that is difficult to factor

Answer 17

what are the directions, does it say you should factor or use rational roots theorem

Answer 18

it doesnt say which method but i have to show work on a workpad and i cannot graph on that

Answer 19

@minimoo chek the attachment. I hope you can proceed after that

Answer 20

how would i find the 3rd zero @Princer_Jones

Answer 21

Those two are complex/

Answer 22

conjugate pairs

Answer 23

but i have to find all the zeros

Answer 24

@minimoo

Answer 25

ohhh okay. thanks so much :)

Answer 26

do you know Ferrari's method ?.@minimoo

Answer 27

no i do not.

Answer 28

oh, Ferrari's method gives the solution of equations of degree 4.

Answer 29

oh.