Question

How to factor
x³-6x²+12x-8

Answer 1

do you know how to factor \(a^3-b^3\)
that will help you if you know this factorisation

Answer 2

calculator

Answer 3

note that \(8=2^3\)

Answer 4

yeah i know how to do a3−b3 but how does that help

Answer 5

?

Answer 6

try using it to first factorise \(x^3-8\)

Answer 7

you should then spot what the next step should be

Answer 8

sorry, i dont see it. I get (x-2)(x^2+2x+4)

Answer 9

Do you know synthetic division?

Answer 10

no

Answer 11

i just end up with
(x-2)(x^2+2x+4)-6x(x+2)

Answer 12

Have you had the rational roots theorem?

Answer 13

Shouldn't that be -6x(x-2)

Answer 14

no

Answer 15

x³-6x²+12x-8 was rearranged into x³-8-6x²+12x

Answer 16

see?

Answer 17

\[-6x^2+12x=-6x(x-2)\]

Answer 18

See?

Answer 19

yeah