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Subjects
Mathematics State Board
Class 10
Algebra
GCD and LCM of Polynomials
3.
Find the GCD if f(x), g(x) and LCM are given
Exercise condition:
2
m.
Find the
GCD
of the polynomials
c
3
+
3
c
2
+
3
c
+
2
,
c
3
+
5
c
2
+
8
c
+
4
and whose
LCM
is
c
2
+
3
c
+
2
.
Answer
:
The
GCD
of the polynomial is:
c
+
1
2
c
+
1
c
+
2
(
c
+
1
)
2
(
c
+
2
)
2
(
c
+
2
)
2
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