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When a polynomial is divided by
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
When a polynomial
f
(
x
)
f(x)
f
(
x
)
is divided by
x
2
+
1
x^{2}+1
x
2
+
1
, the quotient is
2
x
2
−
3
x
+
4
2x^{2}-3x+4
2
x
2
−
3
x
+
4
and the remainder is
a
x
+
b
ax+b
a
x
+
b
. If
f
(
0
)
=
6
f(0)=6
f
(
0
)
=
6
and
f
(
1
)
=
8
f(1)=8
f
(
1
)
=
8
, determine the values of
a
a
a
and
b
b
b
.
Related theory
Division Algorithm for Polynomials
Polynomials
Functions
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