Respuesta :
The equation 4x^3+10x^2 – 6x is factorized as 2x(x+3)(2x – 1).
Option B represents the correct factors of the equation.
What is a Factor of the number?
A factor of the number can be defined as a divisor of the number that divides it completely without leaving any remainder.
Given equation is 4x^3+10x^2 – 6x. This can be factorized as given below.
[tex]4x^3+10x^2-6x = 0[/tex]
We take the common term 2x, then,
[tex]2x ( 2x^2 + 5x -3)=0[/tex]
[tex]2x ( 2x^2 +6x -x -3)=0[/tex]
[tex]2x (2x (x+3) -1(x+3))=0[/tex]
[tex]2x (2x-1)(x+3)=0[/tex]
Hence we can conclude that the factors of the given equation are 2x(x+3)(2x – 1). Option B shows the correct factors.
To know more about the factors, follow the link given below.
https://brainly.com/question/3423184.
