Question

Factorize: x3 – 3x2 – x+3

Answer 1

Answer:

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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