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Byju's Answer
Standard IX
Mathematics
Factor Theorem
When the poly...
Question
When the polynomial
x
2
+
b
x
+
c
is divided by
x
−
2
, the remainder is 4. What is the value of 4b + 2c ?
0
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Solution
The correct option is
A
0
From remainder theorem, we know,
The remainder when
p
(
x
)
is divided by
x
−
2
, the remainder is
p
(
2
)
.
Given,
p
(
2
)
=
4
⇒
2
2
+
2
b
+
c
=
4
⇒
4
+
2
b
+
c
=
4
⇒
2
b
+
c
=
0
Multiplying the above equation with 2 , we get
4
b
+
2
c
=
0
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0
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