Question

solve x^3-21x^2+42x-16​

Answer 1

Answer:

❤!! HeYa MaTe !! ❤

Step-by-step explanation:

⏩First from trial method taking x+1 .

⏩Than by long division method.

⏩Finally by factorisation method.

Hope it will help You

@ be brainly ☺

Answer 2

x3-21x2+146x-336=0  

Three solutions were found :

x = 8

x = 7

x = 6

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (((x3) -  (3•7x2)) +  146x) -  336  = 0  

Step  2  :

Checking for a perfect cube :

2.1    x3-21x2+146x-336  is not a perfect cube  

Trying to factor by pulling out :

2.2      Factoring:  x3-21x2+146x-336  

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

Group 1:  146x-336  

Group 2:  -21x2+x3  

Pull out from each group separately :

Group 1:   (73x-168) • (2)

Group 2:   (x-21) • (x2)