Applying the Remainder Theorem
Algebra · Flashcards · Recall
ALGEBRA · FLASHCARDS
Card 1
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QUESTION
What does the Factor Theorem state using
p
(
a
)
p(a)
p
(
a
)
and the factor
(
x
−
a
)
(x-a)
(
x
−
a
)
?
QUESTION
Which condition guarantees that
(
x
−
a
)
(x-a)
(
x
−
a
)
is a factor of
p
(
x
)
p(x)
p
(
x
)
:
p
(
a
)
=
0
p(a)=0
p
(
a
)
=
0
or
p
(
a
)
≠
0
p(a)\neq 0
p
(
a
)
=
0
?
QUESTION
If the remainder on division by
x
−
a
x-a
x
−
a
is
r
r
r
, what is
p
(
a
)
p(a)
p
(
a
)
equal to?
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ANSWER
p
(
a
)
=
r
p(a)=r
p
(
a
)
=
r
. The remainder equals the polynomial evaluated at
a
a
a
.
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