Question

If p(x)=x²-x-12then find alpha +beta+alphabeta

Answer 1

Step-by-step explanation:

α and β are zeroes of polynomial x²-x + 12

the product of the roots  is the  constant term

=> αβ =  12

the sum of the roots is the coefficient of x term

=> α + β = 1

α + β + αβ

     =  α + β + αβ 

     =  1 + 12

  =  13