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Cecilia's Random Thoughts
Monday, September 14, 2015
Factorize
Problem:
3
x
2
+
14
x
+
40
Solution:
The function cannot be factorized. We can do completing the square
3
x
2
+
14
x
+
40
=
3
(
x
2
+
14
3
x
)
+
40
=
3
(
x
2
+
2
7
3
x
)
+
40
=
3
(
x
2
+
2
7
3
x
+
49
9
−
49
9
)
+
40
=
3
(
x
2
+
2
7
3
x
+
49
9
)
−
49
3
+
40
=
3
(
x
+
7
3
)
2
−
49
3
+
120
3
=
3
(
x
+
7
3
)
2
+
71
3
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