Algebra-1

Question Analysis
This question tests the understanding of the range of a quadratic polynomial. It requires students to determine the maximum value and the direction of the parabola.

Key Concept Explanation
For a quadratic polynomial, the range depends on the vertex and the direction of the parabola. A negative leading coefficient means the parabola opens downwards, and the range is from the maximum value to negative infinity.

Step-by-step Solution
1. Identify the given polynomial:
2. Recognize that it is a quadratic polynomial with a negative leading coefficient, so the parabola opens downwards.
3. Find the vertex using the formula :
4. Substitute