The synthetic division is not same as the polynomial long division.
Given:
Let's take a polynomial function f(x) =
divided by x-2.
Using synthetic divison:
2 1 2 -5 -6
0 2 8 6
1 4 3 0
(x-2)(x^2+4x+3)
= (x-2)(x+3)(x+1)
Polynomial long division:
x-2)
(x^2+4x+3
x^3- 2x^2
4x^2 - 5x + 6
4x^2 - 8x
3x + 6
3x - 6
0
=(x-2)(x^2+4x+3)
Learn more about the division here:
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The ratio of corresponding sides is same for all the sides for similar polygon. the correct proportion is,

Thus the option H is the correct option.
To find the correct proportion we need to know about the properties of slimier polygon.
<h3>What are the properties of similar polygon?</h3>
Two polygons are said to be similar or congruent pentagon-
The corresponding angle of two pentagons are congruent.
The ratio of corresponding sides is same for all the sides.
The figure given in the problem of similar two polygons with six sides.
Rearrange the second figure as shown in figure.
As for the similar polygons, the ratio of corresponding sides is same for all the sides.
Thus the sides shown in the two rearranged figure must be same. Therefore,

Hence the correct proportion is,

Thus the option H is the correct option.
Learn more about the similar polygon here;
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Answer:

Step-by-step explanation:
The given equation is

For this function to have an inverse, we must restrict the domain, say 
We interchange x and y to get,

We now make y the subject to get;


We divide through by 16 to get;

We now take the square root of both sides to get;


Since
, the inverse function is

Answer:
Tap B fills 4/5 in a minute.
Step-by-step explanation:
3 4/5-10/11
14/5-10/11=4/5
Answer:
x=2, y=13
Step-by-step explanation:
In order to get this by addition which is the easiest way for this you want to take both equations
y=3x+7 and y=-4x+21 and move x to the other side of the equation so it is like 4x+y=21 and -3x+y=7 like that now you have to get rid of one of the exponents and the easiest one to get rid of is y so I'm going to multiply -3x+y=7 by negative 1 so it becomes 3x-y=-7 that way the equations value has not changed since I multiplied both sides and now when I add
4x+y=21 and 3x-y=-7 It'll look like
4x+y=21
3x-y=-7 add those It will get rid of the y
then get 7x=14 simplify to get x=2 then you can take -3x+y=7 plug in x and get
-3(2)+y=7 multiply into -6+y=7 then simplify you get y=13