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13 August, 11:46

Determine the factors of x^3 + 11^2-3x-33

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  1. 13 August, 14:36
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    (x²-3) and (x+11)

    Step-by-step explanation:

    The main method to find the factors of a polynomial is factoring.

    To factor x³+11x²-3x-33 rewrite the expression as:

    (x³+11x²) - (3x+33) and factor each piece individually:

    To factor x³+11x² find the GCF (x²) and factor it out to find:

    ⇒ x² (x+11)

    Next in 3x+33 the GCF is 3, factor to find:

    ⇒ 3 (x+11)

    And substitute both in the original expression to find that:

    x³+11x²-3x-33=x² (x+11) - 3 (x+11)

    And factor the GCF x+11:

    ⇒ (x²-3) (x+11)

    And since these polynomials can be multiplied by each other to find the given polynomial they must be factors.
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