题目

MATH136-1IP-IO-202430-I-81X M08: Final Exam Review Quiz

简答题

Find all of the zeros of the polynomial: 𝑥 3 − 4 𝑥 2 − 9 𝑥 + 36 = 0 When you have multiple answers separate them with a comma.

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标准答案

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思路分析

We start by restating the task: find all zeros of the polynomial x^3 - 4x^2 - 9x + 36 = 0 and list them separated by commas. Option A: -3,3,4. If we test these roots, we can factor the polynomial as (x + 3)(x - 3)(x - 4) or verify by expansion. Multiplying (x + 3)(x - 3) gives x^2 - 9, and then (x^2 - 9)(x - 4) expands to x^3 - 4x^2 - 9x + 36, which matches the original polynomial. The set {-3, 3, 4} is consistent with the actual zeros, and the order here is -3, 3, ......Login to view full explanation

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