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Factor by completing the square $\frac{14x^2-12+22x}{7x-3}$

Step-by-step Solution

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Final Answer

$2\left(x+2\right)$
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Step-by-step Solution

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Factor the polynomial $14x^2-12+22x$ by it's greatest common factor (GCF): $2$

$\frac{2\left(7x^2-6+11x\right)}{7x-3}$

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$\frac{2\left(7x^2-6+11x\right)}{7x-3}$

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Learn how to solve polynomial factorization problems step by step online. Factor by completing the square (14x^2-1222x)/(7x-3). Factor the polynomial 14x^2-12+22x by it's greatest common factor (GCF): 2. Factor the trinomial \left(7x^2-6+11x\right) of the form ax^2+bx+c, first, make the product of 7 and -6. Now, find two numbers that multiplied give us -42 and add up to 11. Rewrite the original expression.

Final Answer

$2\left(x+2\right)$

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 (14x^2-12)/(7x-3) using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Function Plot

Plotting: $2\left(x+2\right)$

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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 Factorization

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

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