Biquadratic Polynomial (Noun)
Meaning
A polynomial of the fourth degree.
Classification
Nouns denoting cognitive processes and contents.
Examples
- The equation x^4 + 2x^3 - 7x^2 + 8x + 12 = 0 is a biquadratic polynomial that can be factored into (x^2 + 3x + 2)(x^2 - x + 6) = 0.
- A biquadratic polynomial can be expressed in the general form ax^4 + bx^3 + cx^2 + dx + e, where a, b, c, d, and e are constants.
- The graph of a biquadratic polynomial can have at most three turning points, which are also known as local maxima or minima.
- In algebra, a biquadratic polynomial is often used to model real-world phenomena, such as the trajectory of a projectile or the growth of a population.
- Solving a biquadratic polynomial equation can be challenging, but it can be done using various methods, including factoring, graphing, and numerical methods.