How To Solve A Cubic Equation Algebraically Complete Guide

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how to solve a cubic equation algebraically. Solve cubic 3rd order polynomials. Solve the equation 6 x 3 5 x 2 17 x 6 0 x 2 2 x 3 3 x 1 0 x 2 or x 1 3 or x 3 2 Sometimes it is not possible to factorise a quadratic expression using inspection in which case we use the quadratic formula to fully factorise and solve the cubic equation.

In Mathematics Factoring Is One Of The Important Topic In Algebra Factoring Difference Of Cubes Is One Of Algebra Factoring Polynomials Algebraic Expressions
In Mathematics Factoring Is One Of The Important Topic In Algebra Factoring Difference Of Cubes Is One Of Algebra Factoring Polynomials Algebraic Expressions from www.pinterest.com

The prior strategy of solving a cubic equation is to reduce it to a quadratic equation and then solve the quadratic by usual means either by factorizing or using a formula. The general form is ax 3 bx 2 cxd0 where a 0. No the quadratic equation only contains a b and c terms.

Involves depressing the original cubic losing the squared term solving the easier depressed.

It is defined as third degree polynomial equation. Factor the resulting quadratic equation if possible. The solution proceeds in two steps. Like a quadratic equation has two real roots a cubic equation may have possibly three real roots.