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    Mathematics
    Grade10
    Easy

    Question

    Factorise the equation x2 + 7x + 12.

    1. (x – 3) (x – 4)
    2. (x – 5) (x – 2)
    3. (x + 3) (x + 4)
    4. (x + 5) (x + 2)

    The correct answer is: (x + 3) (x + 4)

      We need to fill in the blanks with two numbers whose sum is 7 and whose product is 12.
      x squared plus 7 x plus 12 equals left parenthesis x plus _ _ right parenthesis left parenthesis x plus _ _ _ right parenthesis
      This can be done by setting up a table showing possible numbers.

      The bottom line contains the numbers that we need. Thus factors for the given equation is,
      x squared plus 7 x plus 12 equals left parenthesis x plus 3 right parenthesis left parenthesis x plus 4 right parenthesis

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