👉 Try now NerdPal! Our new math app on iOS and Android
  1. calculators
  2. Factorization

Factorization Calculator

Get detailed solutions to your math problems with our Factorization step-by-step calculator. Practice your math skills and learn step by step with our math solver. Check out all of our online calculators here.

Symbolic mode
Text mode
Go!
1
2
3
4
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
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

1

Here, we show you a step-by-step solved example of factorization. This solution was automatically generated by our smart calculator:

$factor\left(x^2-x-6\right)$
2

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

$x^2-x-6+{\left(\left(-\frac{1}{2}\right)\right)}^2- {\left(\left(-\frac{1}{2}\right)\right)}^2$
3

Calculate the power ${\left(\left(-\frac{1}{2}\right)\right)}^2$

$x^2-x-6+\frac{1}{4}- \frac{1}{4}$
4

Multiply the fraction and term in $- \frac{1}{4}$

$x^2-x-6+\frac{1}{4}-\frac{1}{4}$
5

Simplify the addition $\left(x- \frac{1}{2}\right)^2-6-\frac{1}{4}$

$\left(x- \frac{1}{2}\right)^2+\frac{-1-6\cdot 4}{4}$
6

Multiply $-6$ times $4$

$\left(x- \frac{1}{2}\right)^2+\frac{-1-24}{4}$
7

Subtract the values $-1$ and $-24$

$\left(x- \frac{1}{2}\right)^2-\frac{25}{4}$
8

Multiply the fraction and term in $- \frac{1}{2}$

$\left(x-\frac{1}{2}\right)^2-\frac{25}{4}$

Final answer to the exercise

$\left(x-\frac{1}{2}\right)^2-\frac{25}{4}$

Are you struggling with math?

Access detailed step by step solutions to thousands of problems, growing every day!