Question

m^3-2m^2-5m+6=0 solution​

Answer 1

Step-by-step explanation:

m³ -2m² -5m +6 = 0

let p(m) = m³ -2m²-5m+6

at m=1

p(1) = 1-2-5+6 =0

since p(1) = 0

m= 1 » m-1=0 is a factor of p(m)

by synthetic division as in fig

m³-2m²-5m+6 = (m-1)(m²-m-6)

= (m-1) (m-2) (m+3)

I hope this can be understood