Question

X3-3x2+x-3 factorise it

Answer 1

Factoring:  x3-3x2+x-3 

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x-3 
Group 2:  x3-3x2 

Pull out from each group separately :

Group 1:   (x-3) • (1)
Group 2:   (x-3) • (x2)
               -------------------
Add up the two groups :
               (x-3)  •  (x2+1) 
Which is the desired factorization

Answer 2

Answer:

= X^3-3X^2+X-3

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

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