Question

Root of x³ + 4 x² + x - 6 = 0
​

Answer 1

Answer:

x=3

x=2

x=−1

Step-by-step explanation:STEP

1

:

Equation at the end of step 1

 (((x3) -  22x2) +  x) +  6  = 0  

STEP

2

:

Checking for a perfect cube

2.1    x3-4x2+x+6  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3-4x2+x+6  

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

Group 1:  x+6  

Group 2:  x3-4x2  

Pull out from each group separately :

Group 1:   (x+6) • (1)

Group 2:   (x-4) • (x2)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

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