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Divide by and express the dividend in the form
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
Divide
x
4
−
5
x
3
+
6
x
2
+
4
x
−
8
x^{4}-5x^{3}+6x^{2}+4x-8
x
4
−
5
x
3
+
6
x
2
+
4
x
−
8
by
x
+
2
x+2
x
+
2
and express the dividend in the form
g
(
x
)
q
(
x
)
+
r
(
x
)
g(x)q(x)+r(x)
g
(
x
)
q
(
x
)
+
r
(
x
)
, clearly stating the quotient
q
(
x
)
q(x)
q
(
x
)
and the remainder
r
(
x
)
r(x)
r
(
x
)
.
Related theory
Division Algorithm for Polynomials
Polynomials
Polynomial Functions
Functions
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