Question

The LCM of \(x^2 - 10x + 16, x^2 - 9x + 14\) and \(x^2 - 10x + 12\)  is :

(a) (x - 2)² (x - 3)(x - 7)² (x - 8)

(b) (x - 2)² (x - 3)(x - 7)(x - 8)

(c) (x - 2)(x - 3)(x - 7)² (x - 8)

(d) (x - 2)(x - 3)(x - 7)(x - 8)

Answer 1

(d) (x - 2)(x - 3)(x - 7)(x - 8)

\(x^2 - 10x + 16 =\) (x - 8)(x - 2)

\(x^2 - 9x + 14 =\) (x - 7)(x - 2)

\(x^2 - 10x + 21 =\) (x - 7)(x - 3)

∴ Reqd. LCM = (x - 2)(x - 3)(x - 7)(x - 8)