Sasha is bisecting a segment. First, she places the compass on one endpoint, opens it to a width larger than half of the segment
1 answer:
Her next step is to repeat the last process of drawing those two arcs. However, they will be mirrored since she swapped endpoints.
Check out the diagram below. Figure 1 is what she already has. Figure 2 is what happens after completing the next step. The red and blue arcs intersect to help form the endpoints of the perpendicular bisector. I used GeoGebra to make the diagrams.
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Answer:
(10x^4–4x^3+14x^2–14x–16)/(2x–2) =
Explanation:
Given the quotient of two polynomials, you can use synthetic division to quickly divide the two.
First find the root of the denominator.
2x - 2 → 2x - 2 = 0 → 2x = 2 → x = 1.
Now since the denominator has a greatest common factor of 2 because 2x -2 = <u>2</u>(x-1) this is what we will divide the result by at the end.
Synthetic division is a quicker method relative to polynomial long division.
It is in the format of:
R(Root of denominator) | a b. c .........
+aR +R(b+aR)...
|__________
a b+aR c + R(b+aR) .... ..
Since the denominator has a degree of 1
The results on the bottom are the coefficients of the divided polynomial minus 1 degree respectively.
The letters are the coefficients of the polynomial from a → z.
For this particular expression of two polynomials that are being divided.
Here is it's format in synthetic division:
The coefficient of the highest term is an exception and is just dropped down.
(10x^4-4x^3+14x^2-14x-16)/(2x-2)
= 1 | (10) (-4) (14) (-14) (-16)
↓ +10 +6 +20. +6
↓ ↓ ↓ ↓
|___________
10 6 20 6 -10