To address the question of whether the statement is true or false, let’s go through the definitions and principles of polynomial degrees step by step.
1. Definition of Polynomial Degree:
- The degree of a polynomial is the highest exponent of the variable in its terms when the polynomial is written in its standard form (i.e., in ascending order of powers of the variable).
2. Examples of Polynomials by Degree:
- A polynomial of degree 2 is known as a quadratic polynomial.
- A polynomial of degree 3 is known as a cubic polynomial.
- A polynomial of degree 4 is known as a quartic polynomial.
3. Analysis:
- The question states: "If the highest degree is 2, it's first is quartic."
- This means it asserts that a polynomial with the highest degree term being 2 (which is actually a quadratic polynomial) is quartic, which refers to degree 4.
The terms do not match here. A polynomial of degree 2 should be called quadratic, not quartic.
Therefore, the statement is:
False
Taking into account the classification of polynomials based on their degrees, it is evident that the statement provided does not hold true.
