Question

Use long division method to find the result when 8x^3+14x^+11x+2 is divided by 4x+1

Answer 1

step by step

ANSWER:  (2x^2-5x+1) *(4x+3)

((*8 • (x3)) -  (2•7x2)) -  11x) +  3

STEP

2

:

Equation at the end of step

2

:

 ((23x3 -  (2•7x2)) -  11x) +  3

STEP

3

:

Checking for a perfect cube

3.1    8x3-14x2-11x+3  is not a perfect cube

Trying to factor by pulling out :

3.2      Factoring:  8x3-14x2-11x+3

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

Group 1:  -11x+3

Group 2:  8x3-14x2

Pull out from each group separately :

Group 1:   (-11x+3) • (1) = (11x-3) • (-1)

Group 2:   (4x-7) • (2x2)