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7 June, 04:14

Factor completely.

x^2-8x+15

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  1. 7 June, 07:39
    0
    (x-3) (x-5)

    Step-by-step explanation:

    x²-8x+15

    note that the constant term is 15 and the x-coefficient is - 8

    step 1: List factors of 15 : ±1, ±3, ±5, ±15

    step 2: observe the factors listed and ask ourselves the following questions:

    1) What 2 factors in the list, when multiplied gives the constant 15

    2) What same 2 factors when added gives the x-coefficient - 8

    by deduction or trial and error, we can see that - 3 and - 5, when multiplied gives 15 and when added gives - 8. Hence these become the factors.

    Hence the factors are

    (x-3) (x-5)
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