Question

if alpha and beta are zeros of the quadratic polynomial x^2 -x-6 then find the value of alpha- beta​

Answer 1

Step-by-step explanation:

${x}^{2} - x - 6 \\ = {x}^{2} - 3x + 2x - 6 \\ = x(x - 3) + 2(x - 3) \\ = (x + 2)(x - 3) \\ x = - 2 \: \: , \: \: 3 \\ \boxed{ \alpha = - 2} \: and \: \boxed{\beta = 3}$