Simplify the expression $\frac{x^3+8x-49}{x-7}$

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Final answer to the problem

$x^{2}+7x+57+\frac{350}{x-7}$
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Let's divide the polynomial by $x-7$ using synthetic division (also known as Ruffini's rule). First, write all the coefficients of the polynomial in the numerator in descending order based on grade (putting a zero if a term doesn't exist). Then, take the first coefficient ($1$) and multiply it by the root of the denominator ($7$). Add the result to the second coefficient and multiply this by $7$ and so on

$\left|\begin{matrix}1 & 0 & 8 & -49 \\ & 7 & 49 & 399 \\ 1 & 7 & 57 & 350\end{matrix}\right|7$

Learn how to solve limits of exponential functions problems step by step online.

$\left|\begin{matrix}1 & 0 & 8 & -49 \\ & 7 & 49 & 399 \\ 1 & 7 & 57 & 350\end{matrix}\right|7$

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Learn how to solve limits of exponential functions problems step by step online. Simplify the expression (x^3+8x+-49)/(x-7). Let's divide the polynomial by x-7 using synthetic division (also known as Ruffini's rule). First, write all the coefficients of the polynomial in the numerator in descending order based on grade (putting a zero if a term doesn't exist). Then, take the first coefficient (1) and multiply it by the root of the denominator (7). Add the result to the second coefficient and multiply this by 7 and so on. In the last row appear the new coefficients of the polynomial. Use these coefficients to rewrite the new polynomial with a lower grade, and the remainder (350) divided by the divisor.

Final answer to the problem

$x^{2}+7x+57+\frac{350}{x-7}$

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Function Plot

Plotting: $x^{2}+7x+57+\frac{350}{x-7}$

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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

How to improve your answer:

Main Topic: Limits of Exponential Functions

Those are limits of expressions of the form f(x)^g(x).

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