Question

Find all the zeroes of each function
f(x) = x3 - 4x2 + 6x - 4

Answer 1

\[f(x)=x^3-4x^2+6x-4\]

Answer 2

maybe you can factor

Answer 3

my online textbook is down so i cant study anything i juss have to take quizes and hope for the best so i really need help idk even kno how to start this problem

Answer 4

(x-2)*(x^2-2*x+2)

well it factors to this and you can use the quadriatic formula for the the x^2 part.

from the first group of parenthesis you can tell 2 is a zero :)

Answer 5

i honestly don't understand anything about this how is 2 a zero?

Answer 6

you set your equation to 0 :)

Answer 7

so i write the equation out and then put = 0 at the end

Answer 8

\[{x}^{3}-4\,{x}^{2}+6\,x-4=0 then solve for x \]

Answer 9

ohk hold on

Answer 10

how do i do 4x^2?

Answer 11

nevermind

Answer 12

you have to factor it :)

Answer 13

uhm i kno wat i got is wrong sooooo yea i got -4/9

Answer 14

no it is not

factor your equation you'll get

(x-2)*(x^2-2*x+2)

so 2 is a zero and then use quadratic formula for (x^2-2*x+2)

Answer 15

how do you kno 2 is 0?

Answer 16

ooh jane if you allowed to use graphing calculator you can also graph it and find the zeros visually :)

I know 2 is a zero because once you factor you can set each (...) inside the parentheses to = 0

Answer 17

for real? how? i have a graphing calculator and i can use it

Answer 18

for example


\[{x}^{3}+6\,{x}^{2}+11\,x+6 =0\]

is (x+1)*(x+2)*(x+3) factored out

you can do this to each ( ) group

(x+1)=0
(x+2)=0
(x+3)=0

x= -1, -2, and -3 :)

Answer 19

ooh what kind of graphing calc do you have @janessia

Answer 20

TI-83 Plus

Answer 21

ooh :)

Answer 22

how do i factor something out

Answer 23

oh i forgot to give you my answer choices
2i,-2i,3
-4,1+2i,1-2i,,2
5,3i.-3i,-5
4,2-i,2+i
2,1+i,1-i

Answer 24

well in mines when you in the graphing window you go the the f5 (math) then zeros you have to pick a low bound and higer bound :)

Answer 25

wat?

Answer 26

wat kind of calc do u have?

Answer 27

ti 89 titanium

Answer 28

oh WOWWWWWW lol

Answer 29

why wow :P

Answer 30

it wont work tho cuzz it doesn't give you imaginary numbers :(

Answer 31

lol anyway wat do i do on the calc?

Answer 32

well plug in you equation

graph it

when you in the window where it shows the curve find the function that lets you find the zeros

it wont work tho because you are asked for imaginary roots too.

Answer 33

why won't it work!!??? well wat are imaginary roots? u mean real numbers?

Answer 34

non real numbers are imaginary numbers :P

Answer 35

the mods have been on my butt :( i cant

Answer 36

(x-2)*(x^2-2*x+2) this is factored out for you
x=2
use quadratic formula to find the other 2 of (x^2-2*x+2)

Answer 37

i kno the other two are ones rite?

Answer 38

1+i and 1-i