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Byju's Answer
Standard VIII
Mathematics
Multiplication of Binomial by a Binomial
The expressio...
Question
The expression
4
x
2
+
16
x
+
m
is divisible by (x + 3). Then, m is a divisor of _____________.
A
4
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B
16
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C
20
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D
12
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Solution
The correct options are
A
4
D
12
Let
f
(
x
)
=
4
x
2
+
16
x
+
m
(
x
+
3
)
is a factor of
f
(
x
)
⇒
f
(
−
3
)
=
0
⇒
4
(
−
3
)
2
+
16
(
−
3
)
+
m
=
0
⇒
36
−
48
+
m
=
0
⇒
m
=
12
∴
m
is a divisor of both 4 and 12.
∴
Option A and D are correct.
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