How to find the roots of cubic eq.

Here I am telling you how to find the roots of the cubic eq so there are two methods to find

* Long division methods

* Hit and Trail method

I. personally prefer the hit and trial method because it is way simple & there is a bit high chance to make mistake in the long division method so let us take ex of a cubic equation .... 4m3-8m2+5m-1

step 1: First all we have to find one root of the eq by hit and trial simply we have put the value of x and

check whether it satisfies the eq or not. most of the time it came from range (-3 to 3) step 2: In this eq (m=1) satisfy the eq do we know (m-1) is the factor of the eq step :3 We know that eq is cubic of it must have 3 roots so we write (m-1)three times and by multiple different values in it so we can get our original eq step: 4 After getting the values we take (m-1) common and we get a quadratic eq step:5 In this step we have to find the roots of quadratic eq and that's 2 roots plus one root (m=1) are the three roots of the quadratic eq for this ex roots of quadratic eq are (1/2, 1/2) Note: in this way only the difficult part is to make eq from the one factor if you complete that thing then it's just child play and the long division method covered in the next blog so please check it...