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4 January, 23:29

Factor the trinomial, if possible. If the trinomial cannot be factored using integers, write prime. 5t2 + 14t + 8

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  1. 5 January, 02:02
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    (t + 2) (5t + 4)

    Step-by-step explanation:

    Given

    5t² + 14t + 8

    Consider the factors of the product of the t² term and the constant term which sum to give the coefficient of the t - term.

    product = 5 * 8 = 40 and sum = + 14

    The factors are + 10 and + 4

    Use these factors to split the t - term

    5t² + 10t + 4t + 8 (factor the first/second and third/fourth terms)

    = 5t (t + 2) + 4 (t + 2) ← factor out (t + 2) from each term

    = (t + 2) (5t + 4) ← in factored form
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