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

The Fundamental Theorem of Algebra Answers

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1
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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
4
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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
11

If you know a root of a function is , then _____.

Question illustration
A
is a possible root.
B
is a known root.
C
is a possible root.
D
is a known root.
12

f (x) has two real roots and one imaginary root.f (x) has three real roots.f (x) has five real roots.f (x) has three real roots and two imaginary roots.

A
f (x) has two real roots and one imaginary root.
B
f (x) has three real roots.
C
f (x) has five real roots.
D
f (x) has three real roots and two imaginary roots.
13

Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29).

A
-1
B
1
C
-4
D
4
E
2 + 5i
F
2 - 5i
G
-2 + 10i
H
-2 - 10i

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The Fundamental Theorem of Algebra Answers…