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 Synonyms
addition algebraic expression binomial complex expression computation continuous function cubic equation expression function linear function monomial multinomial polynomial function product quadratic rational expression subtraction term variable expressionPolynomial 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 functionPolynomial Crossword Answers
11 Letters
MULTINOMIAL