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Byju's Answer
Standard IX
Mathematics
Zeroes of a Polynomial
If 2 is a zer...
Question
If 2 is a zero of the polynomial
p
(
x
)
=
x
3
−
a
x
2
+
b
x
+
c
,
then which of the following equations is true?
A
−
2
a
+
4
b
+
c
+
8
=
0
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B
−
4
a
+
2
b
+
c
+
8
=
0
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C
4
a
+
4
b
+
c
+
8
=
0
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D
−
4
a
−
2
b
+
c
−
8
=
0
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Solution
The correct option is
B
−
4
a
+
2
b
+
c
+
8
=
0
Since 2 is a zero of the polynomial p(x), p(2) = 0.
⇒
2
3
−
a
(
2
2
)
+
b
(
2
)
+
c
=
0
⇒
8
−
4
a
+
2
b
+
c
=
0
⇒
−
4
a
+
2
b
+
c
+
8
=
0
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0
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