Answer:
Exact circumference is 
Approximate circumference is 
Step-by-step explanation:
We are given;
- The diameter of a circle as
We are required to determine the exact and approximate circumference of the circle.
- We know that the circumference of the circle is given by;
- Circumference = πD, where D is the diameter
Taking π as 3.14
The exact circumference of the circle is
Thus, the approximate circumference of the circle is
In this problem, we need to plug in the given x values for
and find a and b.
When we plug in 1, we get:
Simplify:
We got our first statement about the values of the variables. If we find one more we can find those 2 variables.
We have another given root: 4.
Plug it in:
Now we have our second one. We can combine them:
I use elimination method which is easier here.
Multiply the top equation by -1:
Add them up:
Simplify:
Now we have a, we can plug in one of those equations to find b:
So, the answers are
and
.
So to factor
factor out a x+z
(x+z)(x^2-xz+z^2)
the factors are
x+z and x^2-xz+z^2
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