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A polynomial leaves a remainder of when divided by and a remainder of when divided by
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
A polynomial
p
(
x
)
p(x)
p
(
x
)
leaves a remainder of
3
3
3
when divided by
(
x
−
2
)
(x-2)
(
x
−
2
)
and a remainder of
−
5
-5
−
5
when divided by
(
x
+
1
)
(x+1)
(
x
+
1
)
. Find the remainder obtained when
p
(
x
)
p(x)
p
(
x
)
is divided by
(
x
−
2
)
(
x
+
1
)
(x-2)(x+1)
(
x
−
2
)
(
x
+
1
)
.
Related theory
Pair of Linear Equations
Division Algorithm for Polynomials
Polynomials
Functions
Polynomial Functions
Binomial theorem
Algebra
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