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Simplify the expression $\frac{x^3+x+5}{x+1}$

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Solution

Videos

Using long division to divide polynomials - Math tutorial

https://www.youtube.com/watch?v=Ew1eMrKMVeA

Dividing polynomials by linear expressions | Algebra 2 | Khan Academy

https://www.youtube.com/watch?v=G2VBRwXq1q4

Algebra 2 - Simplify by dividing two rational expressions using factoring (32/n‐8)/(1/n‐8)

https://www.youtube.com/watch?v=wFy0p8Jo6pQ

Algebra 2 - Learn how to simplify an equation with rational powers 3(x+1)^(2/3) = 12

https://www.youtube.com/watch?v=wMi-XLCvvik

Dividing two polynomials using long division algorithm

https://www.youtube.com/watch?v=T2np7HY03dk

Algebra 2 - Learn step by step how to simplify a complex fraction, (3/(x+1)) / (5/(x -1))

https://www.youtube.com/watch?v=uXVIkvfXzr8

Function Plot

Plotting: $x^{2}-x+2+\frac{3}{x+1}$

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a
b
c
d
f
g
m
n
u
v
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x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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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Main Topic: Polynomial long division

In algebra, polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree, a generalised version of the familiar arithmetic technique called long division.

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