christopherlovejoy christopherlovejoy
  • 23-02-2022
  • Mathematics
contestada

Find the least common multiple of x2 – 2x – 15 and x2 + 2x – 3.

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sqdancefan
sqdancefan sqdancefan
  • 23-02-2022

Answer:

  x^3 -3x^2 -13x +15

Step-by-step explanation:

The LCM is the product of unique factors, so the first step is to find the factors of each expression.

  x^2 -2x -15 = (x -5)(x +3)

  x^2 +2x -3) = (x -1)(x +3)

The unique factors are (x -5), (x +3), (x -1). The LCM is their product, which we can compute by multiplying the first expression by the factor it does not contain:

  LCM( ) = (x -1)(x^2 -2x -15) = x^3 -3x^2 -13x +15

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