Reformatting the intake :

Changes do to her input should not influence the solution: (1): "x2" was replaced by "x^2". 1 an ext similar replacement(s).

You are watching: Factor the polynomial. 3x3 – 12x2 + 27x

Step 1 :

Equation in ~ the finish of action 1 :

((3 • (x3)) - (22•3x2)) + 27x

action 2 :

Equation in ~ the finish of step 2 : (3x3 - (22•3x2)) + 27x

Step 3 :

Step 4 :

Pulling out like terms :4.1 pull out like factors:3x3 - 12x2 + 27x=3x•(x2 - 4x + 9)

Trying to factor by dividing the center term

4.2Factoring x2 - 4x + 9 The first term is, x2 its coefficient is 1.The middle term is, -4x the coefficient is -4.The critical term, "the constant", is +9Step-1 : multiply the coefficient of the very first term by the continuous 1•9=9Step-2 : find two determinants of 9 whose sum equals the coefficient that the center term, which is -4.

-9+-1=-10
-3+-3=-6
-1+-9=-10
1+9=10
3+3=6
9+1=10

Observation : No 2 such components can be found !! Conclusion : Trinomial can not it is in factored

Final result :

3x • (x2 - 4x + 9)


Why find out this

*

Terms and also topics

*

Related links

*

abc
a
x
y
/
|abs|
( )
7
8
9
*
4
5
6
-
%
1
2
3
+
0
,
.

See more: How Many Covalent Bonds Can A Nitrogen Atom Form, Multiple Bonds In Covalent Bonding


=
abc
a
b
c
d
e
f
g
h
i
j
k
l
m
n
o
p
q
r
s
t
u
v
w
x
y
z

.
*

earlier to optimal