Mathematics
Grade10
Easy

Question

What do we get after factorizing x+ 6x - 27?

  1. (x + 9) (x - 3)
  2. (x - 9) (x + 3)
  3. (x - 9) (x - 3)
  4. (x + 9) (x + 3)

The correct answer is: (x + 9) (x - 3)


    STEP BY STEP SOLUTION

    To factorize x+ 6x - 27, we have to find two numbers, ‘a’ and ‘b,’ such that a + b = 6 and a × b = 27.

    For that, we have to find factors of -27, which are ±1, ±3, ±9.

    Now we have to arrange two numbers from these numbers such that a + b = 6 and a × b =27.

    By considering this, we get two numbers + 9 and - 3

    9 + (- 3) = 6 and 9 × - 3 = - 27
    Now after manipulating terms, we get x+ 9x - 3x - 27.
    x+ 9x - 3x - 27 = x(x + 9) - 3(x + 9)

    = (x + 9)(x - 3).

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