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Byju's Answer
Standard VIII
Mathematics
Factorization of a Quadratic Trinomial
Factorize eac...
Question
Factorize each of the following algebraic expression:
x
2
+ 14x + 45
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Solution
To
factorise
x
2
+
14
x
+
45
,
we
will
find
two
numbers
p
and
q
such
that
p
+
q
=
14
and
pq
=
45
.
Now
,
9
+
5
=
14
and
9
×
5
=
45
Splitting
the
middle
term
14
x
in
the
given
quadratic
as
9
x
+
5
x
,
we
get
:
x
2
+
14
x
+
45
=
x
2
+
9
x
+
5
x
+
45
=
(
x
2
+
9
x
)
+
(
5
x
+
45
)
=
x
(
x
+
9
)
+
5
(
x
+
9
)
=
(
x
+
5
)
(
x
+
9
)
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