Radical Equations and Extraneous Roots — Cumulative exam Answers

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According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?f(x) = (x3 – 3x + 1)2

2 roots

3 roots

6 roots

9 roots

Which expression is equivalent to ? Assume .

(x Superscript two-sevenths Baseline) (y Superscript negative three-fifths Baseline)

(x Superscript two-sevenths Baseline) (y Superscript five-thirds Baseline)

(x Superscript two-sevenths Baseline) (y Superscript three-fifths Baseline)

(x Superscript seven-halves Baseline) (y Superscript negative five-thirds Baseline)

What is the solution of ?

x = 5

x = 13

x = 20

x = 328

What is the quotient?

(t + 3) squared

(t + 4) squared

StartFraction 1 Over (t + 4) squared EndFraction

StartFraction 1 Over (t + 3) squared EndFraction

Which expression is equivalent to the following complex fraction?

StartFraction (y + 1) (y minus 1) Over y squared EndFraction

StartFraction y + 1 Over y minus 1 EndFraction

StartFraction y minus 1 Over y + 1 EndFraction

StartFraction y squared Over (y + 1) (y minus 1) EndFraction

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