Radical Equations and Extraneous Roots — Cumulative exam

Question 1

One root of a third degree polynomial function f(x) is –5 + 2i. Which statement describes the number and nature of all roots for this function?

Revolt · Accepted Answer

f(x) has two imaginary roots and one real root.

Question 2

Which expression is equivalent to ?

Revolt · Accepted Answer

StartFraction y Superscript one-half Baseline Over x z squared EndFraction

Question 3

Which statement describes the graph of this polynomial function?

Revolt · Accepted Answer

The graph crosses the x-axis at x = –2 and x = 1 and touches the x-axis at x = 0.

Question 4

According to the Rational Root Theorem, the following are potential roots of f(x) = 6x4 + 5x3 – 33x2 – 12x + 20., –2, 1, Which is an actual root of f(x)?

Revolt · Accepted Answer

Negative five-halves

Question 5

The graph of f(x) is shown below.If g(x) and f(x) are inverse functions, which graph represents g(x)?

Revolt · Accepted Answer

On a coordinate plane, a curve opens up and to the left in quadrant 1. The curve starts at (0, 0) and curves up sharply through (2, 4).

Radical Equations and Extraneous Roots — Cumulative exam Answers

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