First you graph it using a graphing calculator, you look at the table of values to find out one point in which y= 0. The first one that comes up is when x=1.
If you don't have a graphing calculator you can use trial and error by inputing some numbers into x until you get y= 0.
Once you have an x value which makes y=0, you can start factorizing it.
you divide 6x3 +4x2 -6x - 4 into (x-1) which is when y =0
to get 6x2+10x+4
This can be used to write the polynomial as (x-1)(6x2 +10x+4)
you then factorize the second bracket, 6x2 +10x+4.
you can take the 2 outside to give you 2(3x2 +5x+2)
you can factorize this to become 2(3x+2)(x+1)
Now you just substitute your factorized second bracket into your unfactorized second bracket to give you 2(3x+2)(x+1)(x-1).
From this you can deduce that k= 1
Answer:
y=2x-2
Step-by-step explanation:
<em>the slope is y/x</em>
the slope is 2 or 2/1
<em>subtract 2 from the y value and 1 from the x value</em>
(3-1,4-2) = (2,2)
<em>keep doing this until you get a 0 in the x value</em>
(2-1,2-2) = (1,0)
<em>1 is your x-intercept</em>
(1-1,0-2) = (0,-2)
-2 is your y intercept.
So now you know your y-intercept and your slope so you can now write your equation.
<em>y=mx+b</em>
<em>m=slope, b=y-intercept</em>
m=2, b=-2
<em>substitute into the equation</em>
y=2x-2
Option C:
is the possible expressions for length, width and height of the prism.
Explanation:
The volume of the rectangular prism is 
To determine the length, width and height of the rectangular prism, let us factor the expression.
Thus, factoring 5x from the expression, we have,

Let us break the expression
into two groups, we get,
![5x[\left(12 x^{2}+8 x\right)+(21 x+14)]](https://tex.z-dn.net/?f=5x%5B%5Cleft%2812%20x%5E%7B2%7D%2B8%20x%5Cright%29%2B%2821%20x%2B14%29%5D)
Factoring 4x from the term
, we get,
![5x[4 x(3 x+2)+(21x+14)]](https://tex.z-dn.net/?f=5x%5B4%20x%283%20x%2B2%29%2B%2821x%2B14%29%5D)
Similarly, factoring 7x from the term
, we get,
![5x[4 x(3 x+2)+7(3x+2)]](https://tex.z-dn.net/?f=5x%5B4%20x%283%20x%2B2%29%2B7%283x%2B2%29%5D)
Now, let us factor out
, we get,

Hence, the possible expressions for length, width and height of the prism is 
Therefore, Option C is the correct answer.