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14 January, 02:43

Select each binomial that is a factor of the following polynomial. 3x2-14x-24 Question 4 options:

x-4

x+4

x-6

x+6

3x-4

3x+4

+4
Answers (2)
  1. 14 January, 03:11
    0
    The answer to your question is (x - 6) and (3x + 4)

    Step-by-step explanation:

    Polynomial

    3x² - 14x - 24

    Factor

    1. - Multiply 3 x - 24 = - 72

    2. - Find the prime factors of 72

    72 2

    36 2

    18 2

    9 3

    3 3

    1

    72 = 2³3²

    3. - Find to numbers that added gives - 14

    These numbers are - 18 and + 4

    4. - Write the polynomial in terms of - 18 and + 4

    3x² - 18x + 4x - 24

    5. - Factor by common factors

    3x (x - 6) + 4 (x - 6)

    (x - 6) (3x + 4)

    6. - Conclusion, the factors of the polynomial are (x - 6) (3x + 4)
  2. 14 January, 06:27
    0
    The answer to your question is x-6 and 3x+4
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