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For the polynomial
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
For the polynomial
f
(
x
)
=
3
x
4
−
5
x
3
+
2
x
2
−
7
x
+
1
f(x)=3x^{4}-5x^{3}+2x^{2}-7x+1
f
(
x
)
=
3
x
4
−
5
x
3
+
2
x
2
−
7
x
+
1
, find the remainder obtained in each of the following cases: (a) when
f
(
x
)
f(x)
f
(
x
)
is divided by
x
−
1
x-1
x
−
1
, (b) when
f
(
x
)
f(x)
f
(
x
)
is divided by
x
+
3
x+3
x
+
3
, (c) when
f
(
x
)
f(x)
f
(
x
)
is divided by
2
x
−
1
2x-1
2
x
−
1
.
Related theory
Division Algorithm for Polynomials
Polynomials
Binomial theorem
Algebra
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