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Explain why knowing the value of a polynomial at is enough to decide whether divides .
MATHEMATICS · Subjective · CBSE · Mathematics · Polynomials · Polynomials
Problem
Explain why knowing the value of a polynomial
p
(
x
)
p(x)
p
(
x
)
at
x
=
a
x=a
x
=
a
is enough to decide whether
(
x
−
a
)
(x-a)
(
x
−
a
)
divides
p
(
x
)
p(x)
p
(
x
)
.
Related theory
Division Algorithm for Polynomials
Polynomials
Functions
Polynomial Functions
Binomial theorem
Algebra
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