How to Solve Cubic Equations?
A cubic equation is a equation with degree three. It has three solution and it can be solved easily by following the steps added below,
Step 1: Find one solution to the cubic equation by hit and try method. Suppose we have a cubic equation P(x) then find for any x = a, P(a) = 0 by taking, x = 0, ±1, ±2, ±3, … and so.
Step 2: When we get, P(a) = 0, find the factor (x – a) of P(x)
Step 3: Divide P(x) by (x – a) to get a quadratic equation say Q(x) using polynomial division.
Step 4: Factarize the quadratic equation Q(x) to get the factors as (x – b), and (x – c).
Step 5: (x – a), (x – b), and (x – c) are the factors of P(x) and solving each factors we gets the roots of equation as, a, b, and c.
Learn more about, Dividing Polynomial
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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