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Standard IX
Mathematics
Factor Theorem
Question
Using Factor Theorem, show that
(
x
−
3
)
is a factor of
x
3
−
3
x
2
+
4
x
−
12.
Open in App
Solution
Verified by Toppr
Given:
x
3
−
3
x
2
+
4
x
−
12
=
x
2
(
x
−
3
)
+
4
(
x
−
3
)
=
(
x
2
+
4
)
(
x
−
3
)
∴
(
x
−
3
)
is a factor of
x
3
−
3
x
2
+
4
x
−
12
.
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Using Factor Theorem, show that
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