The degree of bi-quadratic polynomial is

A biquadratic polynomial, also known as a quartic polynomial, is defined as a polynomial of degree four. The degree of a polynomial is determined by the highest power of the variable present in the expression. In a biquadratic polynomial, this highest power is four, indicating that the polynomial includes a term with the variable raised to the fourth power.

The general form of a biquadratic polynomial is:

f(x) = ax⁴ + bx³ + cx² + dx + e

where:

• a, b, c, d, e are constants, and
• a ≠ 0 (to ensure the polynomial is indeed of degree four).

For example, consider the biquadratic polynomial:

f(x) = 2x⁴ - 3x³ + 5x² - x + 7

In this polynomial:

• The term 2x⁴ has a degree of 4.
• The term -3x³ has a degree of 3.
• The term 5x² has a degree of 2.
• The term -x has a degree of 1.
• The constant term 7 has a degree of 0.

Since the highest degree among these terms is 4, the polynomial is classified as a biquadratic polynomial.

It's important to note that the term biquadratic comes from the fact that the highest power of the variable (which is 4) is the square of a square (2² = 4). This terminology emphasizes the relationship between the degrees of polynomials and their classification.