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Simplify the expression $f\left(x\right)=3x^2-4x+1$

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Solution

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Final answer to the problem

$f\left(x\right)=\left(x-1\right)\left(3x-1\right)$
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Step-by-step Solution

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Learn how to solve factorization problems step by step online. Simplify the expression f(x)=3x^2-4x+1. Factor the trinomial 3x^2-4x+1 of the form ax^2+bx+c, first, make the product of 3 and 1. Now, find two numbers that multiplied give us 3 and add up to -4. Rewrite the original expression. Factor 3x^2-3x-x+1 by the greatest common divisor 3.

Final answer to the problem

$f\left(x\right)=\left(x-1\right)\left(3x-1\right)$

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Function Plot

Plotting: $f\left(x\right)-3x^2+4x-1$

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0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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: Factorization

In mathematics, factorization or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original.

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