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The polynomial has and as factors and leaves a remainder when divided by
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
The polynomial
h
(
x
)
=
x
4
−
2
x
3
+
b
x
2
+
c
x
+
d
h(x)=x^{4}-2x^{3}+bx^{2}+cx+d
h
(
x
)
=
x
4
−
2
x
3
+
b
x
2
+
c
x
+
d
has
(
x
−
1
)
(x-1)
(
x
−
1
)
and
(
x
+
2
)
(x+2)
(
x
+
2
)
as factors and leaves a remainder
5
5
5
when divided by
x
−
3
x-3
x
−
3
. Find the values of
b
b
b
,
c
c
c
and
d
d
d
.
Related theory
Polynomials
Division Algorithm for Polynomials
Functions
Polynomial Functions
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