Solving Cubic Function Math
Factorize using the factor theorem and long division show step by step solutions.
Solving cubic function math. Solving a cubic function requires a bit of trial and error work and then an algorithmic process called synthetic division. By the fundamental theorem of algebra cubic equation always has 3 3 3 roots some of which might be equal. You should know that the solution of ax 2 bx c 0 is. A cubic equation is an equation which can be represented in the form a x 3 b x 2 c x d 0 ax 3 bx 2 cx d 0 a x 3 b x 2 c x d 0 where a b c d a b c d a b c d are complex numbers and a a a is non zero.
How to solve cubic equation problems. Set one side of equation equal to 0. 3x 3 4x 2 17x x 3 3x 2 10 step 1. Relation between coefficients and roots.
It is challenging and time consuming to solve a cubic equation but the process is fairly straightforward to follow. There is an. You can also solve it using the cubic formula. The cubic formula solve any 3rd degree polynomial equation i m putting this on the web because some students might find it interesting.
In this video we solve cubic equations. We use the factor theorem to find factors and the synthetic division method to factorise.