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Byju's Answer
Standard X
Mathematics
GCD of Polynomials
Find the HC...
Question
Find the
H
C
F
of the pair of polynomials using equations:
x
3
−
3
x
2
+
4
x
−
12
,
x
4
+
x
3
+
4
x
2
+
4
x
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Solution
Factors of
x
3
−
3
x
2
+
4
x
−
12
=
x
2
(
x
−
3
)
+
4
(
x
−
3
)
=
(
x
−
3
)
(
x
+
4
)
Factors of
x
4
+
x
3
+
4
x
2
+
4
x
=
x
3
(
x
+
1
)
+
4
x
(
x
+
1
)
=
(
x
3
+
4
x
)
(
x
+
1
)
=
x
(
x
+
4
)
(
x
+
1
)
H.C.F of
x
3
−
3
x
2
+
4
x
−
12
and
x
4
+
x
3
+
4
x
2
+
4
x
Common factors of
(
x
−
3
)
(
x
+
4
)
and
x
(
x
+
4
)
(
x
+
1
)
is
x
+
4
∴
H.C.F
=
x
+
4
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0
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Q.
Find the GCD of the following pairs of polynomials
x
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Q.
Find the HCF of the following pair of polynomials:
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Q.
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and
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Q.
For a polynomial, dividend is
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+
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−
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−
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, quotient is
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