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20 December, 22:29

Which of the binomials below is a factor of this trinominal x^2-10x-39

A.) x+6

B.) x-6

C.) x-13

D.) x^2+13

+1
Answers (1)
  1. 20 December, 22:36
    0
    C

    Step-by-step explanation:

    To factorise the quadratic

    Consider the factors of the constant term ( - 39) which sum to give the coefficient of the x - term ( - 10)

    The factors are - 13 and + 3, since

    - 13 * 3 = - 39 and - 13 + 3 = - 10, hence

    x² - 10x - 39 = (x - 13) (x + 3) ← in factored form

    x - 13 is a factor → C
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