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24 May, 02:22

Write this trinomial in factored form 4b^2 + 17b + 15

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Answers (1)
  1. 24 May, 04:31
    0
    (b + 3) (4b + 5)

    Step-by-step explanation:

    Given

    4b² + 17b + 15

    Consider the factors of the product of the b² term and the constant term which sum to give the coefficient of the b - term.

    product = 4 * 15 = 60 and sum = 17

    The factors are 12 and 5

    Use these factors to split the b - term

    4b² + 12b + 5b + 15 (factor the first/second and third/fourth terms)

    = 4b (b + 3) + 5 (b + 3) ← factor out (b + 3) from each term

    = (b + 3) (4b + 5) ← in factored form
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