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Standard VIII
Mathematics
Factorisation by Regrouping Terms
Question
Factorize the following
x
2
−
9
x
+
14
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Solution
Verified by Toppr
x
2
−
9
x
+
14
To factorize we have to find
p
and
q
such that
p
q
=
14
and
p
+
q
=
−
9
x
2
−
9
x
+
14
=
x
2
−
2
x
−
7
x
+
14
=
x
(
x
−
2
)
−
7
(
x
−
2
)
=
(
x
−
2
)
(
x
−
7
)
x
2
−
9
x
+
14
=
(
x
−
2
)
(
x
−
7
)
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