A polynomial equation with roots and can be written as (in standard form).
Answer & Analysis
Analysis
Question Analysis
This question tests the ability to write a second-degree polynomial equation from its roots, which is a fundamental skill in understanding polynomials.
Key Concept Explanation
If the roots of a polynomial are known, the polynomial can be written as the product of factors corresponding to each root. For example, if the roots are and , the polynomial can be written as .
Step-by-step Solution
1. Start with the given roots: and .
2. Write the polynomial as
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