The equation 4x^3+10x^2 – 6x is factorized as 2x(x+3)(2x – 1).
Option B represents the correct factors of the equation.
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What is a Factor of the number?</h3>
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.

We take the common term 2x, then,




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.
Answer:
(D)Multiply the previous value by 2
Step-by-step explanation:

From the given table, we observe that the negative power of 2 reduces by 1 at each step.

Therefore, as the exponents increase, we multiply the previous value by 2 to obtain the next value.
The correct option is D.
Answer:
A. 
Step-by-step explanation:
So to get the area of a square, we need to find the length of one side.
We know the length of the larger square is a, so the area of the larger cube is 
We can find the length of a side of the smaller square by using pythagoreans theorem to find the hypotenuse of the triangle formed in the bottom left corner. The length of one side along the x axis is a - b, and the length of the other side, along the y-axis, is b.
We can plug it into pythagoreans theorem to get
(C represents the length of one side of the smaller square, and the hypotenuse of the triangle)

The area of the smaller triangle is C squared to the area of the smaller triangle is

To get the ratio of the smaller square in comparison to the larger square we divide the area of the smaller square by the area of the larger square.
So the ratio should be

I found width=13.72 ft and length=43.72 ft.
Call one dimension of the rectangle x, the other will be x+30
You want an area A=600 ft^2 but A=length x width=x*(x+30)=600
Rearranging you get:

solving this quadratic equation you get a negative solution and a positive one that gives your result.
(5x)^2 + x^2 = c^2
25x^2 + x^2 =c^2
sqrt 26 x ^ 2 = sqrt c^2
x sqrt 26= c
so answer is 6x + x sqrt 26