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Divide $6x^5-17x^4+7^3+mx^2+nx+b$ by $3x^3-4x^2+5x-7$

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Solution

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Final answer to the problem

$\frac{6x^5-17x^4+343+mx^2+nx+b}{3x^3-4x^2+5x-7}$
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Step-by-step Solution

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  • Write in simplest form
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
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  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
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1

Calculate the power $7^3$

$\frac{6x^5-17x^4+343+mx^2+nx+b}{3x^3-4x^2+5x-7}$

Final answer to the problem

$\frac{6x^5-17x^4+343+mx^2+nx+b}{3x^3-4x^2+5x-7}$

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

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Function Plot

Plotting: $\frac{6x^5-17x^4+343+mx^2+nx+b}{3x^3-4x^2+5x-7}$

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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
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

How to improve your answer:

Similar Problems Solved

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$\frac{1+a^7}{1+a}$

$\left(x^2-20+x\right)\div\left(x+5\right)$

$\left(x^4-2x^3-11x^2+30x-20\right)\div\left(x^2+3x-2\right)$

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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