Question

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

Answer 1

Answer:

A=1, B=5, C= -3

Step-by-step explanation:

Ax² – Bx + B + 1 ≡ (x – 2)(x + C)

Ax² – Bx + B + 1 ≡ x² + Cx - 2x - 2C

Ax² – Bx + B + 1 ≡ x² + (C - 2)x - 2C

Comparing LHS and RHS,

A = 1

B = 2 - C

B+1 = -2C

2-C+1=-2C

C=-3

B=2-(-3)=5