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22 September, 22:41

What are the simplest factors of this polynomial? x3 + 4x2 - 9x - 36

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  1. 22 September, 22:43
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    1. Factor out common terms in the first two terms, then in the last two terms:

    x^2 (x + 4) - 9 (x + 4)

    2. Factor out the common term x + 4

    (x + 4) (x^2 - 9)

    3. Rewrite x^2 - 9 in the form a^2 - b^2, where a = x and b = 3

    (x + 4) (x^2 - 3^2)

    4. Use Difference of Squares: a^2 - b^2 = (a + b) (a - b)

    (x + 4) (x + 3) (x - 3)
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