Which of the following is the reciprocal of the factored form of: x2 - 2x - 8
2 answers:
We are given quadratic x^2-2x-8.
Let us factor it by product sum rule.
According to product sum rule, we need to find the factors of -8 that add upto -2.
If we write all factors of 8, we get 8,4,2 and 1 factores.
So, we could choose -4 and +2.
Because -4+2 = -2 (sum) and -4*2=-8 (product)
x^2-2x-8
Splitting middle term into two terms -4x+2x
x^2-4x+2x−8
Factoring out gcf from each group.
x(x-4) +2(x- 4)
(x + 2)(x - 4)
So, we got factored form of the given euadratic (x + 2)(x - 4).
Reciprocal of it would be .
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<h2>Hello!</h2>
The answer is:
The equation of the line in slope-intercept form:
To find the equation in slope-intercept form, we need to follow the next steps:
Find the slope of the line:
Using the slope formula, we have:
We are given the points:
So, substituting we have:
Find the "b" value:
Now that we know the value of the slope, we can write the equation of the line:
In order to find "b" we need to substituite any of the given points, we know that line is thru both of the given points, so, substituting (2,4) we have:
Now that we know the slope and "b", we can write the equation of the line in slope-intercept form:
Have a nice day!