együtthatókkal

"Együtthatókkal" is the Hungarian word for "coefficients". In mathematics and science, a coefficient is a multiplicative factor that modifies a variable or an unknown. It is typically a number, but it can also be a symbol or an expression. Coefficients are fundamental to algebraic expressions, equations, and polynomials.

For example, in the algebraic expression 3x², the number 3 is the coefficient of the variable x². In the linear equation 2y + 5 = 10, the number 2 is the coefficient of the variable y. In a polynomial like 4x³ - 2x + 7, the numbers 4, -2, and 7 are the coefficients of the terms x³, x, and the constant term, respectively.

Coefficients play a crucial role in determining the behavior and properties of mathematical objects. They can represent physical quantities in scientific formulas, such as mass in F=ma, where 'm' is the coefficient representing mass. They are also essential for understanding the scale and direction of transformations in linear algebra and the nature of solutions in differential equations. The term "együttható" is consistently used in Hungarian mathematical and scientific contexts to refer to this concept.