Polynomial
A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents of those variables. They are often represented as sums of terms, where each term is a product of a coefficient and a variable raised to a power. Polynomials are fundamental in algebra, calculus, and other areas of mathematics, representing a wide range of relations and functions.
Polynomial meaning with examples
- In algebra, a polynomial such as 3x^2 + 2x + 1 can represent the trajectory of a projectile when plotted against time.
- Resolving the polynomial equation 2x^3 - 4x + 1 = 0 involves finding the values of x that satisfy the equation, which can be done using various mathematical methods.
- Graphs of polynomials can reveal important characteristics about their roots, such as whether they are real or complex, based on where they intersect the x-axis.
- Polynomial functions are continuous and smooth, which makes them suitable for interpolation and approximation in numerical methods and computer graphics.
- When working on calculus problems, understanding the derivative of a polynomial, like f(x) = 4x^3 - 3x + 2, is crucial for finding slopes of tangent lines.
Polynomial Antonyms
chaotic system
constant
discrete
empty set
exponential function
integral
irrational function
logarithmic function
non-linear equation
non-polynomial
non-systematic
piecewise function
random variable
scattered data
singular value
singular variable
step function
system of equations
trigonometric function
undefined function
Polynomial Crossword Answers
11 Letters
MULTINOMIAL