Simplify the expression $\frac{12x^5-8x^4+10x^3- 12^2-30x+40}{x^4-2x^3-17x^2+18x+72}$

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Final answer to the problem

$\frac{12x^5-8x^4+10x^3-104-30x}{x^4-2x^3-17x^2+18x+72}$
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Step-by-step Solution

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  • Solve by completing the square
  • Write in simplest form
  • Solve by quadratic formula (general formula)
  • Find the derivative using the definition
  • Simplify
  • Find the integral
  • Find the derivative
  • Factor
  • Factor by completing the square
  • Find the roots
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Calculate the power $12^2$

$\frac{12x^5-8x^4+10x^3- 144-30x+40}{x^4-2x^3-17x^2+18x+72}$

Learn how to solve polynomial long division problems step by step online.

$\frac{12x^5-8x^4+10x^3- 144-30x+40}{x^4-2x^3-17x^2+18x+72}$

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Learn how to solve polynomial long division problems step by step online. Simplify the expression (12x^5-8x^410x^3-12^2-30x+40)/(x^4-2x^3-17x^218x+72). Calculate the power 12^2. Multiply -1 times 144. Subtract the values 40 and -144.

Final answer to the problem

$\frac{12x^5-8x^4+10x^3-104-30x}{x^4-2x^3-17x^2+18x+72}$

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Function Plot

Plotting: $\frac{12x^5-8x^4+10x^3-104-30x}{x^4-2x^3-17x^2+18x+72}$

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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

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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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