Which shows one way to determine the factors of x^3 – 12x^2 – 2x + 24 by grouping?
a. x(x^2 – 12) + 2(x2 – 12)
b. x(x^2 – 12) – 2(x2 – 12)
c. x^2(x – 12) + 2(x – 12)
d. x^2(x – 12) – 2(x – 12)

9514 1404 393

  39.375 : 65.625

Step-by-step explanation:

The meaning of "reduce" in this context is unclear. We assume you want to divide the quantity 105 into parts that have a ratio of 3 : 5. Then the smaller part will be 3/(3+5) = 3/8 of the total; the larger part will be 5/8 of the total.

  3/8 × 105 = 39 3/8

  5/8 × 105 = 65 5/8

The divided quantities are ...

  39.375 : 65.625