Question

Which is the completely factored form of 4x3 10x2 – 6x? 2(x 3)(2x – 1) 2x(x 3)(2x – 1) 2x(x – 3)(2x – 1) 2(x – 3)(2x 1).

Answer 1

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.

$4x^3+10x^2-6x = 0$

We take the common term 2x, then,

$2x ( 2x^2 + 5x -3)=0$

$2x ( 2x^2 +6x -x -3)=0$

$2x (2x (x+3) -1(x+3))=0$

$2x (2x-1)(x+3)=0$

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.

brainly.com/question/3423184.