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When the polynomial is divided by
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
When the polynomial
g
(
x
)
=
2
x
4
−
3
x
3
+
a
x
2
+
b
x
+
6
g(x)=2x^{4}-3x^{3}+ax^{2}+bx+6
g
(
x
)
=
2
x
4
−
3
x
3
+
a
x
2
+
b
x
+
6
is divided by
(
x
−
1
)
(x-1)
(
x
−
1
)
, the remainder is
5
5
5
, and when it is divided by
(
x
+
2
)
(x+2)
(
x
+
2
)
, the remainder is
−
6
-6
−
6
. Find the values of
a
a
a
and
b
b
b
.
Related theory
Pair of Linear Equations
Polynomials
Polynomial Functions
Factorisation of polynomials
Algebra
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