The LCM of x2 - 8x + 15 and x2 - 5x + 6 is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. (x - 5) (x - 2) (x - 3).
Given that
The LCM of x2 - 8x + 15 and x2 - 5x + 6
The factors of x2 - 8x + 15
= x2 - 5x - 3x + 15 = x(x - 5) -3 (x - 5)
= (x - 5) (x - 3)
The factors of x2 - 5x + 6
= x2 - 3x - 2x + 6 = x(x - 3) -2 (x - 3)
= (x - 3) (x - 2)
Hence, the required LCM = ( x - 5) (x - 2) (x - 3)