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Factor the expression $x^2+x+2$

Step-by-step Solution

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Final Answer

$\frac{7}{4}+\left(x+\frac{1}{2}\right)^2$
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Step-by-step Solution

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Add and subtract $\displaystyle\left(\frac{b}{2a}\right)^2$

$x^2+x+2+\frac{1}{4}-\frac{1}{4}$

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

$x^2+x+2+\frac{1}{4}-\frac{1}{4}$

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Learn how to solve polynomial factorization problems step by step online. Factor the expression x^2+x+2. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+x+\frac{1}{4}. Subtract the values 2 and -\frac{1}{4}. Calculate the square root of \frac{1}{4}.

Final Answer

$\frac{7}{4}+\left(x+\frac{1}{2}\right)^2$

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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

SimplifyFactorFactor by completing the squareFind the integralFind the derivativeFind x^2+x using the definitionSolve by quadratic formula (general formula)Find the rootsFind break even pointsFind the discriminant

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Plotting: $\frac{7}{4}+\left(x+\frac{1}{2}\right)^2$

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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: Polynomial Factorization

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

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