Question

factorise:- x3+2x2+5x+1​

Answer 1

Answer:

Step-by-step explanation:

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x3-2x2-5x-1=0  

One solution was found :

                        x ≓ -0.221876144

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (((x3) -  2x2) -  5x) -  1  = 0  

Step  2  :

Checking for a perfect cube :

2.1    x3-2x2-5x-1  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3-2x2-5x-1  

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

Group 1:  -5x-1  

Group 2:  x3-2x2  

Pull out from each group separately :

Group 1:   (5x+1) • (-1)

Group 2:   (x-2) • (x2)