AnswersFL-1200330-Algebra 2 CRSynthetic Division and the Remainder Theorem

The Fundamental Theorem of Algebra Answers

24 verified answers2 views
9

Find the root(s) of f (x) = (x- 6)2(x + 2)2.

A
-6 with multiplicity 1
B
-6 with multiplicity 2
C
6 with multiplicity 1
D
6 with multiplicity 2
E
-2 with multiplicity 1
F
-2 with multiplicity 2
G
2 with multiplicity 1
H
2 with multiplicity 2
10

Find the root(s) of f (x) = (x + 5)3(x - 9)2(x + 1).

A
-5 with multiplicity 3
B
5 with multiplicity 3
C
-9 with multiplicity 2
D
9 with multiplicity 2
E
-1 with multiplicity 0
F
-1 with multiplicity 1
G
1 with multiplicity 0
H
1 with multiplicity 1
15

Describe the graph of the function at its roots.

Answers:
At x = 2, the graph the x–axis.:crosses
At x = −6, the graph the x–axis.:touches
At x = −12, the graph the x–axis.:crosses
16

Describe the graph of the function at its roots.

Answers:
At x = 2, the graph the x–axis.:crosses
At x = −6, the graph the x–axis.:touches
At x = −12, the graph the x–axis.:crosses
17

crossesdoes not intersect✔ touches

A
crosses
B
does not intersect
C
✔ touches
18

✔ crossesdoes not intersecttouches

A
✔ crosses
B
does not intersect
C
touches
19

g(x) = (x + 4)4(x − 9)

Answers:
At x = −4, the graph the x–axis.:touches
At x = 9, the graph the x–axis.:crosses
20

g(x) = (x + 4)4(x − 9)

Answers:
At x = −4, the graph the x–axis.:touches
At x = 9, the graph the x–axis.:crosses

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