Polynomial Equations

A polynomial equation is a mathematical expression involving variables raised to whole-number powers, combined using addition, subtraction, and multiplication. For example, \( 3x^2 + 2x - 5 = 0 \) is a polynomial equation. The degree of the polynomial is determined by the highest power of the variable; for instance, \( x^3 \) makes it a cubic polynomial. These equations often describe curves or surfaces in mathematics and science. Solving a polynomial equation involves finding the values of the variables that make the expression equal to zero, which can be done through various algebraic and numerical methods.