Algebra-1

Question Analysis
This question tests the understanding of the range of even-degree polynomials. It requires students to determine the minimum value of the polynomial and then write the range accordingly.

Key Concept Explanation
For even-degree polynomials with a negative leading coefficient, the graph opens downwards, and the range is all real numbers greater than or equal to the maximum value of the function.

Step-by-step Solution
1. Identify the degree and leading coefficient: The polynomial is of degree 4 (even) with a negative leading coefficient, so it opens downwards.
2. Find the critical points by completing the square or using calculus. Here, we complete the square:

3. The expression

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