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UPSC CDS Math Basic operation and Factorisation Questions
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© examsnet.com
Question : 6
Total: 77
What is (x - a)(x - b)(x - c) equal to ?
[2019 CDS-II]
x
3
−
(
a
+
b
+
c
)
x
2
+
(
b
c
+
c
a
+
a
b
)
x
−
a
b
c
x
3
+
(
a
+
b
+
c
)
x
2
+
(
b
c
+
c
a
+
a
b
)
x
+
a
b
c
x
3
(
b
c
+
c
a
+
a
b
)
x
2
+
(
a
+
b
+
c
)
x
−
a
b
c
x
3
+
(
b
c
+
c
a
+
a
b
)
x
2
−
(
a
+
b
+
c
)
x
−
a
b
c
Validate
Solution:
We have,
(
x
−
a
)
(
x
−
b
)
(
x
−
c
)
⇒
(
x
2
−
b
x
−
a
x
+
a
b
)
(
x
−
c
)
⇒
x
3
−
c
x
2
−
b
x
2
+
c
b
x
−
a
x
2
+
a
c
x
+
a
b
x
−
a
b
c
⇒
x
3
−
(
a
+
b
+
c
)
x
2
+
(
a
b
+
b
c
+
c
a
)
x
−
a
b
c
© examsnet.com
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