Question
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
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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!