F (x) = 3x^3 + 24x^2 - 9x - 72 factored by grouping

1 Move all terms to one side.

x

-

3

x

3

-

2

4

x

2

+

9

x

+

7

2

=

0

x-3x

3

- 24x

2

+ 9x+72=0

2 Simplify

x

-

3

x

3

-

2

4

x

2

+

9

x

+

7

2

x-3x

3

- 24x

2

+ 9x+72 to

1

0

x

-

3

x

3

-

2

4

x

2

+

7

2

10x-3x

3

- 24x

2

+ 72.

1

0

x

-

3

x

3

-

2

4

x

2

+

7

2

=

0

10x-3x

3

- 24x

2

+ 72=0

3 No root was found algebraically. However, the following root (s) were found by numerical methods.

x

=

-

8

.

0

4

3

4

5

6

,

-

1

.

7

0

5

7

7

3

,

1

.

7

4

9

2

3

0

x=-8.043456,-1.705773,1.749230

Done