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The polynomial leaves a remainder of when divided by
MATHEMATICS · Subjective · AoPS · Mathematics · Polynomials · Polynomials
Problem
The polynomial
p
(
x
)
=
3
x
3
+
a
x
2
+
5
x
+
6
p(x)=3x^{3}+ax^{2}+5x+6
p
(
x
)
=
3
x
3
+
a
x
2
+
5
x
+
6
leaves a remainder of
4
4
4
when divided by
(
x
−
1
)
(x-1)
(
x
−
1
)
. Determine the value of
a
a
a
.
Related theory
Polynomials
Division Algorithm for Polynomials
Polynomial Functions
Functions
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