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Byju's Answer
Standard X
Mathematics
Long Division Method to Divide Two Polynomials
If the polyno...
Question
If the polynomial
x
4
−
6
x
3
+
16
x
2
−
25
x
+
10
is divided by
x
2
−
2
x
+
k
the remainder comes out to be
x
+
a
. Find the value of
a
.
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Solution
Correct answer is option B.
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Similar questions
Q.
If
f
(
x
)
=
x
4
−
2
x
3
+
3
x
2
−
a
x
−
b
when divided by 𝑥−1,
the remainder is 6, then find the value of 𝑎+𝑏.
Q.
Assertion (A): Remainder obtained when the polynomial
x
6
4
+
x
2
7
+
1
is divided by
(
x
+
1
)
is 1.
Reason (R) : If 𝑓(𝑥) is divided by (𝑥−𝑎), then the remainder is 𝑓(𝑎).
Q.
What is the remainder if we divide
6
x
3
+
x
2
−
2
x
+
4
by
(
x
−
2
)?
Q.
If the zeroes of the polynomial
x
3
−
3
x
2
+
x
+
1
are
a
−
b
,
a
, and
a
+
b
, then find the value of
a
and
b
.
Q.
If the polynomia
l
f
(
x
)
=
5
x
5
−
3
x
3
+
2
x
2
−
k
gives remainder 1 when divided by
x
+
1
, then 𝑘=______.
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