Question

Find α and β , if x + 1 and x + 2 are factors of x³ + 3x² − 2αx + β.

Answer 1

Let f(x) = x³ + 3x² − 2αx + β be the given polynomial from factor theorem, if (x+1) and (x+2) are factors of f(x) then f(-1) = 0 and f(-2) = 0