factorise: x³-2x²-x+2
plz solve by the language and by correct method ​

2 thoughts on “factorise: x³-2x²-x+2<br />plz solve by the language and by correct method ​”

1. Answer:

   we can use tha FDS method which means factorise.division.splitting.

   Step-by-step explanation:

   first we have to factorise it like

   put x as 1

   (1)^3-2(1)^2-(1)+2

   1-2-1+2=0. if it comes 0 then

   so ,it means we can proceed to new step called long division.we write as x =1 , it becomes x-1

   x^3-2x^2-x+2 /x-1 = x^2-1x+2

   if the answer is 0 it means you are going right then we will proceed to our next step that is middle term splitting .. do the middle term splitting of the term x^2-1x+2=(x+1) (x-2) (x-1)

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2. Answer:

   [tex]x {}^{3} – 2x {}^{2} – x + 2 \\ = x {}^{3} + x {}^{2} – 3x {}^{2} – 3x + 2x + 2 \\ = x {}^{2} (x + 1) – 3x(x + 1) + 2(x + 1) \\ = (x {}^{2} – 3x + 2)(x + 1) \\ = (x {}^{2} – 2x – x + 2)(x + 1) \\ = (x(x – 2) – 1(x – 2))(x + 1) \\ = (x – 1)(x – 2)(x + 1)[/tex]

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