A polynomial has a root at with a multiplicity of 4. The corresponding factor in the factored form of the polynomial is.
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's understanding of the concept of multiplicity in polynomials by requiring them to write the corresponding factor in the factored form of the polynomial.
Key Concept Explanation
Multiplicity: The multiplicity of a root in a polynomial is the number of times appears as a factor in the factored form of .
Step-by-step Solution
1. Identify the root and its multiplicity: The root is with a multiplicity of 4.
2. Write the corresponding factor: Since the multiplicity is 4, the factor is
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