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Byju's Answer
Standard XII
Mathematics
Definition of a Determinant
Coefficient o...
Question
Coefficient of
x
3
in the expansion of
(
3
x
−
2
)
3
(
4
−
x
)
2
is
n
+
239
64
, then value of n is _________
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Solution
In the given expression,
(
3
x
−
2
)
3
(
4
−
x
)
2
the numerator,
(
3
x
−
2
)
3
is a cubic polynomial and the denominator
(
4
−
x
)
2
is a quadratic polynomial.
Which means
x
could never have a power greater than
1
.
∴
the power of
x
3
is
0
.
ie,
n
+
239
64
=
0
⇒
n
+
239
=
0
∴
n
=
(
−
239
)
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0
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