Question

if alpha,beta,1 are roots of x3-2x2-5x+6=0 then alpha and beta is give step by step solution ​

Answer 1

Answer:

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Answer 2

Answer:

alpha=-2 and beta=3

Step-by-step explanation:

given x3-2x2-5x+6=0

roots are alpha,beta,1.

sum of coefficients of the equation, 1-2-5+6= 7-7 = 0

it represents the factor is (x-1) then x=1

by HORNER's method of synthetic division, we get x2-x-6=0

                 x2-3x+2x-6=0

             x(x-3)+2x(x-3)=0

                (x-3)(x+2)=0

we get x= -2 and 3

   roots alpha=-2 and beta= 3