Question

Findthe unknowns A, B and C if Ax² – Bx + B + 1 ≡ (x – 2)(x + C)

Answer 1

Answer:

Ax²- Bx + B + 1 = (x-2)(x+c)

= x² + xc - 2c - 2x

=> x² + x(c - 2) - 2c

on comparing

A = 1 , B = - (c - 2), B+1 = - 2c

=> A = 1, B = (2 - c ) , B+1 = -2c