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For the polynomial
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
For the polynomial
g
(
x
)
=
x
3
+
a
x
2
+
b
x
+
6
g(x)=x^{3}+ax^{2}+bx+6
g
(
x
)
=
x
3
+
a
x
2
+
b
x
+
6
, the remainder is
4
4
4
when
g
(
x
)
g(x)
g
(
x
)
is divided by
x
−
1
x-1
x
−
1
, and
(
x
+
1
)
(x+1)
(
x
+
1
)
is a factor of
g
(
x
)
g(x)
g
(
x
)
. Find the values of
a
a
a
and
b
b
b
.
Related theory
Polynomials
Polynomial Functions
Functions
Solving quadratic equations
Algebra
Relationship between zeroes and coefficients
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