Question

Factor
x^3-4x^2+5x-2

Answer 1

This might help

Answer 2

help me please

Answer 3

how did you get (x^2-3x+2)(x-1)?

Answer 4

OOps wrong question lol I will help with yours

Answer 5

x^3 – 4x^2 + 5x – 2

Answer 6

That is what you have right?

Answer 7

yes

Answer 8

ok

Answer 9

Note if (x + a) is a factor, then a will be a factor of -2. Those are ±1 or ±2.

Answer 10

Note that if x = 1, then 1^3 – 4(1)^2 + 5(1) – 2 = 1 – 4 + 5 – 2 = 0, so x – 1 is a facto

Answer 11

ok

Answer 12

factor.*

Answer 13

Therefore x^3 – 4x^2 + 5x – 2 = (x – 1)(x² – 3x + 2)

Answer 14

Now I recognize that (x² – 3x + 2) = (x – 1)(x – 2)

Answer 15

x^3 – 4x^2 + 5x – 2 = (x – 1)²(x – 2)

Answer 16

Is there a specific law you were supposed to use with this?

Answer 17

I think its the rational roots thm

Answer 18

Ok

Answer 19

thank you! @jchick

Answer 20

No problem!

Answer 21

got it!

Answer 22

Sorry typo (x-2) (x-1)^2

Answer 23

There is your final answer!