Applying the Remainder Theorem
Algebra 2 · Flashcards
ALGEBRA 2 · FLASHCARDS
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QUESTION
What is the remainder when dividing
p
(
x
)
=
3
x
2
−
12
x
+
9
p(x)=3x^2-12x+9
p
(
x
)
=
3
x
2
−
12
x
+
9
by
x
−
1
x-1
x
−
1
?
QUESTION
What is the remainder when dividing
p
(
x
)
=
x
4
−
16
p(x)=x^4-16
p
(
x
)
=
x
4
−
16
by
x
+
2
x+2
x
+
2
?
QUESTION
Find the value of
k
k
k
so that
x
−
2
x-2
x
−
2
is a factor of
p
(
x
)
=
x
2
+
k
x
−
6
p(x)=x^2+kx-6
p
(
x
)
=
x
2
+
k
x
−
6
.
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ANSWER
k
=
1
k=1
k
=
1
. Set
p
(
2
)
=
0
p(2)=0
p
(
2
)
=
0
:
4
+
2
k
−
6
=
0
4+2k-6=0
4
+
2
k
−
6
=
0
, so
k
=
1
k=1
k
=
1
.
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