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23 November, 23:42

Which of the following is a factor of 10x2 - 11x - 6?

5x - 3

5x + 2

2x + 1

None of the above

+3
Answers (1)
  1. 23 November, 23:49
    0
    5x + 2

    Step-by-step explanation:

    Given

    10x² - 11x - 6

    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 * - 6 = - 60 and sum = - 11

    The factors are - 15 and + 4

    Use these factors to split the x - term

    10x² - 15x + 4x - 6 (factor the first/second and third/fourth terms)

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

    = (x - 3) (5x + 2) ← in factored form

    Thus 5x + 2 is a factor of 10x² - 11x - 6
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