The Fundamental Theorem of Algebra

Question 1

f (x) = (x - 6)2(x + 2)2

Revolt · Accepted Answer

4

Question 2

f (x) = (x + 5)3(x - 9)(x + 1)

Revolt · Accepted Answer

5

Question 3

f (x) = (x + 2)(x - 1)[x - (4 + 3i)][x - (4 - 3i)]

Revolt · Accepted Answer

4

Question 4

crossesdoes not intersecttouches

Revolt · Accepted Answer

crosses

Question 5

f (x) = (x + 1)(x - 3)(x - 4)

Revolt · Accepted Answer

3

Question 6

Describe the graph of the function at its roots.

Revolt · Accepted Answer

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

Question 7

Describe the graph of the function at its roots. f(x) = (x − 2)3(x + 6)2(x + 12) At x = 2, the graph the x–axis. At x = −6, the graph the x–axis. At x = −12, the graph the x–axis.

Revolt · Accepted Answer

crosses; Selection 1: crosses; Selection 2: touches; Selection 3: crosses

Question 8

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

Revolt · Accepted Answer

is a known root.

Question 9

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.

Revolt · Accepted Answer

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

Question 10

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

Revolt · Accepted Answer

1; -4; 2 + 5i; 2 - 5i

The Fundamental Theorem of Algebra Answers

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