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18 July, 04:28

Factor trinomials; 2v^2 + 11v + 5

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Answers (2)
  1. 18 July, 04:30
    0
    (V+5) (2v+1) is the answer
  2. 18 July, 04:38
    0
    (v + 5) (2v + 1)

    Step-by-step explanation:

    Given

    2v² + 11v + 5

    Consider the factors of the product of the coefficient of the v² term and the constant term which sum to give the coefficient of the v - term.

    product = 2 * 5 = 10 and sum = + 11

    The factors are + 10 and + 1

    Use these factors to split the v - term

    2v² + 10v + v + 5 (factor the first/second and third/fourth terms)

    = 2v (v + 5) + 1 (v + 5) ← factor out (v + 5) from each term

    = (v + 5) (2v + 1) ← in factored form
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