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7 August, 11:16

Which of the following represents the factorization of the polynomial below?

2x^2 + 13x + 15

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  1. 7 August, 13:51
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    2x² + 13x + 15

    First you multiply the first and last number, 2 · 15 = 30

    Now you need to find the factors of 30 that add or subtract to + 13 (I added the plus sign to indicate that the factors that add/subtract to 13 must come out as positive 13)

    Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30 [1 · 30, 2 · 15, 3 · 10, 5 · 6]

    You can do either 15 and 2 because 15 - 2 = 13, or 3 and 10 because 3 + 10 = 13.

    I will be doing 10 and 3

    2x² + 13x + 15 Instead of 13x, you can replace it with 3x and 10x because when you add it together it is 13x

    2x² + 3x + 10x + 15 Now you can factor them out separately

    x (2x + 3) + 5 (2x + 3) You can factor out (2x + 3) from x and 5 to get:

    (2x + 3) (x + 5)
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