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Factor by completing the square $\frac{9x^4+\frac{9}{2}x^2+5x+4x^6+\frac{10}{3}x^3}{2x^2+3}$

Step-by-step Solution

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Final Answer

$\frac{x\left(9x^{3}+\frac{9}{2}x+5+4x^{5}+\frac{10}{3}x^2\right)}{2x^2+3}$
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Step-by-step Solution

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Divide $9$ by $2$

$\frac{9x^4+\frac{9}{2}x^2+5x+4x^6+\frac{10}{3}x^3}{2x^2+3}$

Learn how to solve polynomial factorization problems step by step online.

$\frac{9x^4+\frac{9}{2}x^2+5x+4x^6+\frac{10}{3}x^3}{2x^2+3}$

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Learn how to solve polynomial factorization problems step by step online. Factor by completing the square (9x^4+9/2x^25x4x^610/3x^3)/(2x^2+3). Divide 9 by 2. Divide 10 by 3. Factor the polynomial 9x^4+\frac{9}{2}x^2+5x+4x^6+\frac{10}{3}x^3 by it's greatest common factor (GCF): x.

Final Answer

$\frac{x\left(9x^{3}+\frac{9}{2}x+5+4x^{5}+\frac{10}{3}x^2\right)}{2x^2+3}$

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

SimplifyFactorFind the integralFind the derivativeFind (9x^4+9/2x^2)/(2x^2+3) using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Function Plot

Plotting: $\frac{x\left(9x^{3}+\frac{9}{2}x+5+4x^{5}+\frac{10}{3}x^2\right)}{2x^2+3}$

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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: Polynomial Factorization

They are a group of techniques that help us rewrite polynomial expressions as a product of factors.

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