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8 March, 05:30

Factor this trinomial.

x2 - 8x+15

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Answers (2)
  1. 8 March, 06:25
    0
    (x - 5) (x - 3)

    Step-by-step explanation:

    You need two numbers that multiply to 15 and add to 8. There aren't many numbers that will do that.

    15 and 1 is one pair of numbers. They multiply to 15 but don't add to 8.

    6 and 2 add to 8 but don't multiply to 15.

    5 and 3. This in some form is your answer, but handle it carefully.

    (x - 5) (x - 3)

    The 5 and 3 both have to be minus.
  2. 8 March, 07:26
    0
    (x-3) (x-5)

    Step-by-step explanation:

    The expression is:

    x2 - 8x+15

    Break the middle term:

    Coefficient of first term will be multiplied by constant

    1*15 = 15

    Now we have to find out which numbers will be multiplied to get 15

    and also by adding those numbers we get the middle term:

    3*5=15

    3+5 = 8

    Now break the middle term:

    x^2-3x-5x+15

    x (x-3) - 5 (x-3)

    (x-5) (x-3) ...

    The factors are (x-5) (x-3) ...
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