3x^3+20x^2-21x+88 divided (x+8) using long division
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The equation 4x^3+10x^2 – 6x is factorized as 2x(x+3)(2x – 1).
Option B represents the correct factors of the equation.
<h3>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.
Let us first make the sample space for the event A. The Sample Space will be:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5)
(5,1) (5,2) (5,3) (5,4)
(6,1) (6,2) (6,3)
As can be clearly seen the Sample Space for the event A has 30 elements in it.
Now, it is given in the question that the event A has already occurred and we need to find the probability of the event B occurring <u><em>given that the event A has already occurred.</em></u>
Now, as we can see, from the sample space, only 11 events out of the 30 are the events of interest to us. This is shown in bold below:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5)
(5,1) (5,2) (5,3) (5,4)
(6,1) (6,2) (6,3)
Thus, the probability that the event B occurs given that the event A has already occurred is:
In percentage the required probability is 36.7% approximately.