Question

Divide : 48x2

(x

4 – 3x3

-18x

2

) by 16x2

(x-6)​

Answer 1

Answer:

x=4

Step-by-step explanation:

Step by step solution :

STEP

1

:

Equation at the end of step 1

 (((24 • (x3)) -  (24•3x2)) -  222x) +  120  = 0

STEP

2

:

Equation at the end of step

2

:

 (((23•3x3) -  (24•3x2)) -  222x) +  120  = 0

STEP

3

:

STEP

4

:

Pulling out like terms

4.1     Pull out like factors :

  24x3 - 48x2 - 222x + 120  =

 6 • (4x3 - 8x2 - 37x + 20)

Checking for a perfect cube :

4.2    4x3 - 8x2 - 37x + 20  is not a perfect cube

Trying to factor by pulling out :

4.3      Factoring:  4x3 - 8x2 - 37x + 20

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

Group 1:  -37x + 20

Group 2:  4x3 - 8x2

Pull out from each group separately :

Group 1:   (-37x + 20) • (1) = (37x - 20) • (-1)

Group 2:   (x - 2) • (4x2)

pls thanks me and rate 5 stars