The Fundamental Theorem of Algebra

Question 1

When solving, you took the square root of both sides of the equation. Consider this step when completing the following statements. The roots are imaginary because of the

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negative radicand.

Question 2

There are two roots because of the

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need to identify + and - roots of the radicand.

Question 3

x =

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2 + i and 2 - i

Question 4

Describe the graph of the function g(x) = (x − 1)(x + 4)3(x + 5)2. The graph: the axis at (1, 0). the axis at (−4, 0). the axis at (−5, 0).

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touches

Question 5

For the single roots −1 and 2, the graph the x–axis at the intercepts.

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crosses

Question 6

For the double root 3, the graph the x–axis at the intercepts.

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touches

Question 7

Describe the graph of the function g(x) = (x − 1)(x + 4)3(x + 5)2. The graph: the axis at (1, 0). the axis at (−4, 0). the axis at (−5, 0).

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crosses

Question 8

Describe the graph of the function g(x) = (x − 1)(x + 4)3(x + 5)2. The graph: the axis at (1, 0). the axis at (−4, 0). the axis at (−5, 0).

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crosses

The Fundamental Theorem of Algebra Answers

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