24
QuizMultiple Choice

Solving Equations Containing Two Radicals

Question 24 • TX-Algebra II B-CR

Graph the function y=x3+3x2-1. Based on the graph, what is the least possible x-value if y=0? Round your answer to the nearest hundredth, if necessary.

Answer
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-2.88
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-2.00
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-0.65
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-0.53

Explanation

To find where the graph crosses the x-axis, set y=0 and solve x³+3x²−1=0. The least solution is approximately x=−2.88; substituting this value gives a result very close to 0. The other x-intercepts are greater, so the least possible x-value is −2.88, choice A.

AI-written and checked against the verified answer.

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