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Consider the polynomial f(x)=2x^ 3 +3x^ 2 -5x-6
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
Consider the polynomial
f
(
x
)
=
2
x
3
+
3
x
2
−
5
x
−
6.
f(x)=2x^{3}+3x^{2}-5x-6.
f
(
x
)
=
2
x
3
+
3
x
2
−
5
x
−
6.
(i) Find the remainder obtained when
f
(
x
)
f(x)
f
(
x
)
is divided by
x
−
2
x-2
x
−
2
. (ii) Hence determine whether
x
−
2
x-2
x
−
2
is a factor of
f
(
x
)
f(x)
f
(
x
)
, justifying your answer clearly.
Related theory
Division Algorithm for Polynomials
Polynomials
Polynomial Functions
Binomial theorem
Algebra
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