Math Problem Statement
Solution
To find the zeros of the polynomial function , we need to set and solve for .
The equation becomes:
For the product to be zero, at least one of the factors must be zero. So, we have:
Thus, the zeros are , , and , making the correct answer "0, 6, -5".
Would you like more details on any of these steps?
- What are polynomial roots and why are they important?
- How do you factorize a polynomial like this one?
- What does the graph of look like?
- How can we confirm these solutions by substitution?
- How does this function behave as approaches infinity?
Tip: To find zeros, always set the equation to zero and solve for each factor individually.
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Math Problem Analysis
Mathematical Concepts
Polynomial Functions
Factoring
Roots of Equations
Formulas
y = x(x - 6)(x + 5) = 0
Theorems
Zero Product Property
Suitable Grade Level
Grades 9-11
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