Given the roots of a polynomial equation are and , write the second-degree polynomial equation in standard form: ___________.
Answer & Analysis
Analysis
Question Analysis
This question tests the ability to write a polynomial equation from its roots, which is a key skill in understanding polynomial equations.
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 a second-degree polynomial, the general form is , where and are the roots.
Step-by-step Solution
1. Identify the roots: and .
2. Write the polynomial as the product of factors:
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