Question

Product of zeroes of the polynomial 3x cube - 5x square +6x+2 is

Answer 1

Answer:

1.x = 1

2.x =(4-√8)/2=2-√ 2 = 0.586

3.x =(4+√8)/2=2+√ 2 = 3.414

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 (((x3) -  5x2) +  6x) -  2  = 0  

Step  2  :

Checking for a perfect cube :

2.1    x3-5x2+6x-2  is not a perfect cube  

Trying to factor by pulling out :

2.2      Factoring:  x3-5x2+6x-2  

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

Group 1:  6x-2  

Group 2:  x3-5x2  

Pull out from each group separately :

Group 1:   (3x-1) • (2)

Group 2:   (x-5) • (x2)

Bad news !! Factoring by pulling out fails :  

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

Answer 2

product of roots of cubic equation = constant term/coefficient of x square