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Byju's Answer
Standard IX
Mathematics
Zeroes of a Polynomial
State true or...
Question
State true or false:
x
=
2
is a root of
2
x
3
+
x
2
−
7
x
−
6
.
A
True
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B
False
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Solution
The correct option is
A
True
p
(
x
)
=
2
x
3
+
x
2
−
7
x
−
6.
Then,
p
(
2
)
=
2
(
2
)
3
+
(
2
)
2
−
7
(
2
)
−
6
=
16
+
4
−
14
−
6
=
0
.
Hence,
x
=
2
is a root of
p
(
x
)
.
Therefore, it is true and option
A
is correct.
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