6
AssignmentMultiple Choice

The Rational Roots Theorem

Question 6 • AZ-Common Core Algebra II A

Using the section of the graph shown, which of these potential roots of the function should you test first?f(x) = 2x3 – 9x2 – 6x + 40

Answer
A
–5
B
–2
C
1
D
8

Explanation

Test each proposed value by substituting it into f(x). For x = −2, f(−2) = 2(−2)³ − 9(−2)² − 6(−2) + 40 = −16 − 36 + 12 + 40 = 0. Since the function equals zero, −2 is a root, so test choice B, −2, first.

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