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MATH136-1IP-IO-202430-I-81X M08: Final Exam Review Quiz
Short answer
Find all of the zeros of the polynomial: ๐ฅ 3 โ 4 ๐ฅ 2 โ 9 ๐ฅ + 36 = 0 When you have multiple answers separate them with a comma.
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Step-by-Step Analysis
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 explanationLog in for full answers
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