Question

(12x^4+ 16x^3 – 28x^2+ 24x) ÷ 4x is​

Answer 1

Answer:

STEP

1

:

Equation at the end of step 1

STEP

2

:

Equation at the end of step

2

:

STEP

3

:

16x3 - 24x2 - 28x - 6

Simplify —————————————————————

4x + 2

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

16x3 - 24x2 - 28x - 6 =

2 • (8x3 - 12x2 - 14x - 3)

Checking for a perfect cube :

4.2 8x3 - 12x2 - 14x - 3 is not a perfect cube

Trying to factor by pulling out :

4.3 Factoring: 8x3 - 12x2 - 14x - 3

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

Group 1: -14x - 3

Group 2: 8x3 - 12x2

Pull out from each group separately :

Group 1: (14x + 3) • (-1)

Group 2: (2x - 3) • (4x2)

Bad news !! Factoring by pulling out fails :

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

STEP

5

:

Pulling out like terms

5.1 Pull out like factors :

4x + 2 = 2 • (2x + 1)

Polynomial Roots Calculator :

5.2 Find roots (zeroes) of : F(x) = 8x3 - 12x2 - 14x - 3

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0