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20 August, 00:48

Factor this polynomial expression.

10x2 - 7x-12

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Answers (1)
  1. 20 August, 02:39
    0
    (2x - 3) (5x + 4)

    Step-by-step explanation:

    Given

    10x² - 7x - 12

    Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x - term

    product = 10 * - 12 = - 120 and sum = - 7

    The factors are - 15 and + 8

    Use these factors to split the x - term

    10x² - 15x + 8x - 12 (factor the first/second and third/fourth terms)

    = 5x (2x - 3) + 4 (2x - 3) ← factor out (2x - 3) from each term

    = (2x - 3) (5x + 4)
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