Factor the expression $x^2+5x+1$

Step-by-step Solution

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Final answer to the problem

$\left(x+\frac{5}{2}\right)^2-\frac{21}{4}$
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Step-by-step Solution

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  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
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1

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

$x^2+5x+1+\left(\frac{5}{2}\right)^2- \left(\frac{5}{2}\right)^2$

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

$x^2+5x+1+\left(\frac{5}{2}\right)^2- \left(\frac{5}{2}\right)^2$

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Learn how to solve polynomial factorization problems step by step online. Factor the expression x^2+5x+1. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Calculate the power \left(\frac{5}{2}\right)^2. Multiply the fraction and term in - \frac{25}{4}. Simplify the addition \left(x+\frac{5}{2}\right)^2+1-\frac{25}{4}.

Final answer to the problem

$\left(x+\frac{5}{2}\right)^2-\frac{21}{4}$

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Function Plot

Plotting: $\left(x+\frac{5}{2}\right)^2-\frac{21}{4}$

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5
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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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