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Byju's Answer
Standard X
Mathematics
Factorisation of Quadratic Polynomials
The factors o...
Question
The factors of a quadratic polynomial
P
(
x
)
=
x
2
+
4
x
−
5
are:
A
(
x
+
5
)
,
(
x
−
1
)
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B
(
x
+
5
)
,
(
x
+
1
)
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C
(
x
+
1
)
,
(
x
−
5
)
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D
(
x
−
1
)
,
(
x
−
5
)
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Solution
The correct option is
A
(
x
+
5
)
,
(
x
−
1
)
Given:
P
(
x
)
=
x
2
+
4
x
−
5
=
x
2
+
5
x
−
x
−
5
=
x
(
x
+
5
)
−
1
(
x
+
5
)
=
(
x
+
5
)
(
x
−
1
)
∴
The factors of
P
(
x
)
are
(
x
+
5
)
,
(
x
−
1
)
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