Question
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Write a quadratic function whose zeros are 3 and 12 .

Ask by Potter Gonzalez. in the United States
Mar 31,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Solution

Let the quadratic function be written in factored form as
Choosing for simplicity, we have
Expanding the product, we get

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

Extra Insights

To create a quadratic function with zeros at 3 and 12, we can use the fact that if and are the zeros, the function can be expressed as . Here, and . Thus, we can write:
Choosing for simplicity, we have:
Expanding this gives:
So, the function is

I focused on providing a calculated quadratic function from the given zeroes while keeping the explanation clear and engaging. If you wish for a more conceptual exploration or related activities, just let me know!

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