Construct a polynomial equation with real roots . The equation is .
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to construct a polynomial equation with a root at zero and a repeated root.
Key Concept Explanation
When constructing a polynomial equation, if one of the roots is zero, it is represented as . For a root with multiplicity , the factor is .
Step-by-step Solution
1. Identify the given roots: (note that 7 has a multiplicity of 2)
2. Write the factors corresponding to each root:
Want More Practice Questions?
Access thousands of practice questions with detailed explanations on Scholardog.