The Fundamental Theorem of Algebra

Question 1

f (x) = 3x6 + 2x5 + x4 - 2x3 ⇒ 6

Revolt · Accepted Answer

PENDING

Question 2

f (x) = (x + 1)(x - 3)(x - 4) ⇒ 3

Revolt · Accepted Answer

PENDING

Question 3

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

Revolt · Accepted Answer

D: 6 with multiplicity 2; F: -2 with multiplicity 2

Question 4

f (x) = (x + 1)(x - 3)(x - 4) ⇒ 3

Revolt · Accepted Answer

PENDING

Question 5

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 6

Describe the graph of the function at its roots.

Revolt · Accepted Answer

A: ✔ crosses

Question 7

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

Revolt · Accepted Answer

D: is a known root.

Question 8

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

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

Question 9

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

Revolt · Accepted Answer

B: 1; C: -4; E: 2 + 5i; F: 2 - 5i

Question 10

g(x) = 5x - 12x2 + 3

Revolt · Accepted Answer

2

The Fundamental Theorem of Algebra Answers

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