Question

3x^3+7x divided by 3x^3+7 by long division​

Answer 1

Answer:

(3x - 1) • (x + 1) • (x - 3)

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

(((3 • (x3)) -  7x2) -  7x) +  3

Step  2  :

Equation at the end of step  2  :

((3x3 -  7x2) -  7x) +  3

Step  3  :

Checking for a perfect cube :

3.1    3x3-7x2-7x+3  is not a perfect cube  

Trying to factor by pulling out :

3.2      Factoring:  3x3-7x2-7x+3  

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

Group 1:  -7x+3  

Group 2:  -7x2+3x3  

Pull out from each group separately :

Group 1:   (-7x+3) • (1) = (7x-3) • (-1)

Group 2:   (3x-7) • (x2)