Fourth Power (Noun)
Meaning
An algebraic equation or function of the fourth degree.
Classification
Nouns denoting quantities and units of measure.
Examples
- The fourth power of x in the equation x^4 + 3x^3 - 2x^2 + x - 1 is the term that determines the overall shape of the graph.
- In algebra, a polynomial of degree four is often referred to as a fourth power equation, which can have up to four real roots.
- The fourth power of a variable in an equation can be factored using various techniques, such as synthetic division or polynomial long division.
- When graphing a function of the fourth power, the curve will typically have a distinctive "S" shape, with the fourth power term dominating the behavior of the function.
- In some cases, a fourth power equation can be simplified by factoring out a perfect square trinomial, which can make it easier to solve for the roots of the equation.