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Byju's Answer
Standard X
Mathematics
Quadratic Formula
If x2 - 2x ...
Question
If
x
2
−
2
x
−
15
=
(
x
+
r
)
(
x
+
s
)
for all
x
∈
R
, then the possible value(s) of
r
−
s
is/are
A
−
3
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B
−
2
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C
2
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D
8
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Solution
The correct option is
D
8
Given,
x
2
−
2
x
−
15
=
(
x
+
r
)
(
x
+
s
)
⇒
x
2
−
2
x
−
15
=
0
On factoring, we get
(
x
−
5
)
(
x
+
3
)
=
0
So the value of
r
=
3
,
s
=
−
5
Therefore,
r
−
s
=
3
−
(
−
5
)
=
8
Suggest Corrections
0
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