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Byju's Answer
Standard IX
Mathematics
Zeroes of a Polynomial
Verify whethe...
Question
Verify whether
2
is a zero of the polynomial
x
3
+
4
x
2
−
3
x
−
18
or not?
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Solution
Let,
f
(
x
)
=
x
3
+
4
x
2
−
3
x
−
18
If
2
is a zero, then
f
(
2
)
must be equal to
0.
So,
f
(
2
)
=
2
3
+
4
(
2
)
2
−
3
(
2
)
−
18
=
8
+
16
−
6
−
18
=
24
−
24
=
0
Hence,
2
is a zero of the polynomial.
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