Given the roots of a polynomial equation are and , and the constant term is 10, write the second-degree polynomial equation in standard form: ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the ability to write a second-degree polynomial equation given its roots and a specific constant term. It aligns with the fundamental concepts of polynomials and their roots.
Key Concept Explanation
If the roots of a polynomial equation are known, the equation can be written as the product of factors corresponding to each root. For a second-degree polynomial, this means writing it as , where and are the roots and is a constant.
Step-by-step Solution
1. Identify the roots: and
2. Write the factors:
3. Expand the factors:
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