Final answer:
The polynomial 5.1x² -4x +25 is of the second degree because the highest power of x is 2, making it a quadratic polynomial. The correct answer is A. Quadratic.
Step-by-step explanation:
The degree of a polynomial is determined by the highest power of the variable that appears in the polynomial. For the given polynomial 5.1x² -4x +25, the highest power of the variable x is 2, which means that the polynomial is of the second degree. Therefore, the correct answer is A. Quadratic. A quadratic polynomial is one where the highest degree is two, and the general form is ax² + bx + c.
Polynomials are defined by their degrees:
- Linear polynomials have a degree of 1.
- Quadratic polynomials have a degree of 2.
- Cubic polynomials have a degree of 3.
- Quartic polynomials have a degree of 4.
Given these definitions, it is clear that the polynomial in question is a quadratic polynomial, classifying it as Option A.