Degree of Equation

The definition of the Degree of Equation is stated below:

Degree of a Equation is defined as the maximum power possessed by the variable in an Equation.

Based on the degree of the Equation, an Equation can be classified as follows:

  • Linear Equation
  • Quadratic Equation
  • Cubic Equation
  • Biquadratic Equation

Linear Equation

The Equation in which the maximum power of the variable is 1 is called a Linear Equation.

  • For example 3x +1 = 0

Quadratic Polynomial

The Equation in which the maximum power of the variable is 2 is a Quadratic Equation.

  • For example 3x2+x+1 = 0

Cubic Equation

The Equation in which the maximum power of the variable is 3 is called a Cubic Equation.

  • For example 5x3+3x2+x+1 = 0

Biquadratic Polynomial

The Equation in which the maximum power of the variable is 4 is called a Biquadratic Polynomial or Quartic Polynomial.

  • For example 5x4+4x3+3x2+2x+1 = 0

Solving Cubic Equations

Cubic Equation is a mathematical equation in which a polynomial of degree 3 is equated to a constant or another polynomial of maximum degree 2. The standard representation of the cubic equation is ax3+bx2+cx+d = 0 where a, b, c, and d are real numbers. Some examples of cubic equation are x3 – 4x2 + 15x – 9 = 0, 2x3 – 4x2 = 0 etc.

Table of Content

  • Polynomial Definition
  • Degree of Equation
  • Cubic Equation Definition
  • How to Solve Cubic Equations?
  • Solving Cubic Equations
  • Solving Cubic Equation Using Factors
  • Solving Cubic Equation Using Graphical Method
  • Problems Based on Solving Cubic Equations
  • Practice Problems on Solving Cubic Equations

For learning How to Solve Cubic Equations we must first learn about polynomials, the degree of the polynomial, and others. In this article, we will learn about, Polynomials, Polynomial Equations, Solving Cubic Equations Or how to solve cubic equations, and others in detail.

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