Unit Test — Unit test Answers

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Which statement describes the graph of this polynomial function?

Question illustration
A
The graph crosses the x-axis at x = 0 and touches the x-axis at x = 3.
B
The graph touches the x-axis at x = 0 and crosses the x-axis at x = 3.
C
The graph crosses the x-axis at x = 0 and touches the x-axis at x = –3.
D
The graph touches the x-axis at x = 0 and crosses the x-axis at x = –3.
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What are the solutions to x3 + 6x = 4x2 + 4?

A
–2, 1 + i, 1 – i
B
2, 1 + i, 1 – i
C
4, 2 + i, 2 – i
D
–4, 2 + i, 2 – i
24

Three roots of a fifth degree polynomial function f(x) are –2, 2, and 4 + i. Which statement describes the number and nature of all roots for this function?

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.

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