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29 May, 05:05

Which of the binomials below is a factor of this trinomial?

6x^2 - 5x - 25

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Answers (1)
  1. 29 May, 07:18
    0
    see explanation

    Step-by-step explanation:

    Given

    6x² - 5x - 25

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

    product = 6 * - 25 = - 150 and sum = - 5

    The factors are + 10 and - 15

    Use these factors to split the x - term

    6x² + 10x - 15x - 25 (factor the first/second and third/fourth terms)

    = 2x (3x + 5) - 5 (3x + 5) ← factor out (3x + 5)

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

    The factors are (3x + 5) and (2x - 5)
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