Explanation:

A polynomial is an algebraic expression consisting of variables and coefficients, combined using addition, subtraction, and multiplication operations. The degree of a polynomial is determined by the highest power of the variable in the expression.

In this case, the statement is true. Let's break down the options and the explanation:

a) False: This option states that the statement is false. However, this is incorrect because the statement is indeed true. A polynomial can be classified as linear, quadratic, cubic, or biquadratic based on its degree.

b) True: This option states that the statement is true. This is the correct answer. The degree of a polynomial determines its classification as linear, quadratic, cubic, or biquadratic.

Classification of polynomials based on degree:

1. Linear polynomial: A linear polynomial has a degree of 1. It can be written in the form ax + b, where 'a' and 'b' are constants. The graph of a linear polynomial is a straight line.

2. Quadratic polynomial: A quadratic polynomial has a degree of 2. It can be written in the form ax^2 + bx + c, where 'a', 'b', and 'c' are constants with 'a' not equal to 0. The graph of a quadratic polynomial is a parabola.

3. Cubic polynomial: A cubic polynomial has a degree of 3. It can be written in the form ax^3 + bx^2 + cx + d, where 'a', 'b', 'c', and 'd' are constants with 'a' not equal to 0. The graph of a cubic polynomial is a curve with various shapes.

4. Biquadratic polynomial: A biquadratic polynomial has a degree of 4. It can be written in the form ax^4 + bx^3 + cx^2 + dx + e, where 'a', 'b', 'c', 'd', and 'e' are constants with 'a' not equal to 0. The graph of a biquadratic polynomial can have various shapes and may include multiple curves.

In conclusion, the statement is true. The classification of a polynomial as linear, quadratic, cubic, or biquadratic is determined by its degree.