A polynomial equation is an equation involving a polynomial expression, which sets the polynomial equal to zero. It can have one or more variables with non-negative integer exponents.
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The degree of a polynomial equation is determined by the highest power of the variable.
Polynomial equations can be classified into linear, quadratic, cubic, quartic, etc., based on their degree.
The Fundamental Theorem of Algebra states that every non-zero single-variable polynomial equation has at least one complex root.
Polynomial equations can be solved using various methods such as factoring, synthetic division, and the quadratic formula.
The roots or solutions of a polynomial equation are values for which the polynomial equals zero.
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Related terms
Degree (of a Polynomial): The highest power of the variable in a polynomial expression.
Root (or Solution): A value that satisfies the polynomial equation when substituted for the variable.