Answer:
(3 (x - 2)) (2 x^2 - 4 x - 5) or 3 (x - 2) (2 x^2 - 4 x - 5) or 6 x^3 - 24 x^2 + 9 x + 30
Step-by-step explanation:
Simplify the following:
(3 x - 6) (2 x^2 - 4 x - 5)
Factor 3 out of 3 x - 6:
Answer: (3 (x - 2)) (2 x^2 - 4 x - 5) or 3 (x - 2) (2 x^2 - 4 x - 5) or 6 x^3 - 24 x^2 + 9 x + 30
The simplification is done by multiplying both factors. The polynomial is [tex]6x^3 - 24x^2 +9x +30[/tex]. Then the correct option is C.
Simplification is to make something easier to do or understand and to make something less complicated.
Given
The expression is [tex]\rm (3x - 6)(2x^2 - 4x - 5)[/tex].
On multiplying both the factor.
[tex]\rm (3x - 6)(2x^2 - 4x - 5)\\\\3x(2x^2 - 4x - 5) -6(2x^2 - 4x - 5)\\\\6x^3 - 12x^2 -15x - 12x^2 + 24x +30\\\\6x^3 - 24x^2 +9x +30[/tex]
Thus, the simplification is done by multiplying both factors. The polynomial is [tex]6x^3 - 24x^2 +9x +30[/tex]. Then the correct option is C.
More about the simplification link is given below.
https://brainly.com/question/12616840
