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17 April, 07:03

What are the factors of 2x^2+11x+15

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  1. 17 April, 07:13
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    (x + 3) (2x + 5)

    Step-by-step explanation:

    Given

    2x² + 11x + 15

    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 = 2 * 15 = 30 and sum = + 11

    The factors are + 6 and + 5

    Use these factors to split the x - term

    2x² + 6x + 5x + 15 (factor the first/second and third/fourth terms)

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

    = (x + 3) (2x + 5)
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