$\frac{x^2+x+1}{x^2+1}$

Step-by-step Solution

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acos
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sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Final answer to the problem

$1+\frac{x}{x^2+1}$
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Step-by-step Solution

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1

Divide $x^2+x+1$ by $x^2+1$

$\begin{array}{l}\phantom{\phantom{;}x^{2}+1;}{\phantom{;}1\phantom{;}\phantom{;}}\\\phantom{;}x^{2}+1\overline{\smash{)}\phantom{;}x^{2}+x\phantom{;}+1\phantom{;}\phantom{;}}\\\phantom{\phantom{;}x^{2}+1;}\underline{-x^{2}\phantom{-;x^n}-1\phantom{;}\phantom{;}}\\\phantom{-x^{2}-1\phantom{;}\phantom{;};}\phantom{;}x\phantom{;}\phantom{-;x^n}\\\end{array}$
2

Resulting polynomial

$1+\frac{x}{x^2+1}$

Final answer to the problem

$1+\frac{x}{x^2+1}$

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Function Plot

Plotting: $1+\frac{x}{x^2+1}$

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1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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