Ask Question
23 March, 18:56

Identify the least common multiple of x2 - 10x + 24 and x2 - x - 12.

+1
Answers (1)
  1. 23 March, 18:58
    0
    (x-4) (x-6) (x+3) or in more compressed form x³-7x²-6x+72

    Step-by-step explanation:

    To find the L. C. M, w first factorize each of the expressions.

    x²-10x+24

    Two numbers that when added give - 10 but when multiplied give 24

    will be, - 4 and - 6

    Thus the expression becomes:

    x²-4x-6x+24

    x (x-4) - 6 (x-4)

    = (x-4) (x-6)

    Let us factorize the second expression.

    x²-x-12

    Two numbers when added give - 1 and when multiplied give - 12

    are 3 and - 4

    Thus the expression becomes: x²-4x+3x-12

    x (x-4) + 3 (x-4)

    (x-4) (x+3)

    Therefore the LCM between (x-4) (x-6) and (x-4) (x+3)

    will be

    (x-4) (x-6) (x+3)

    We can multiply the expression as follows.

    (x-4) (x-6)

    x²-6x-4x+24 = x²-10x+24

    (x+3) (x²-10x+24)

    =x³-10x²+24x+3x²-30x+72

    =x³-7x²+-6x+72
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Identify the least common multiple of x2 - 10x + 24 and x2 - x - 12. ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers