The Fundamental Theorem of Algebra

Question 1

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 2

crossesX does not intersect✔ touches

Revolt · Accepted Answer

✔ touches

Question 3

✔ crossesdoes not intersectX touches

Revolt · Accepted Answer

✔ crosses

Question 4

g(x) = (x + 4)4(x − 9)

Revolt · Accepted Answer

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

Question 5

✔ crossesdoes not intersecttouches

Revolt · Accepted Answer

✔ crosses

Question 6

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

Revolt · Accepted Answer

is a known root.

Question 7

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 8

Describe the graph of the function at its roots.

Revolt · Accepted Answer

✔ crosses; 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 9

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

Revolt · Accepted Answer

is a known root.

Question 10

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.

The Fundamental Theorem of Algebra Answers

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