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13 June, 09:41

What is the factored form of the expression 6x^2+17x+12

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  1. 13 June, 10:05
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    (3x + 4) (2x + 3)

    Step-by-step explanation:

    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, that is

    product = 6 * 12 = 72 and sum = + 17

    The factors are + 8 and + 9

    Use these factors to split the middle term

    6x² + 8x + 9x + 12 (factor the first/second and third/fourth terms)

    = 2x (3x + 4) + 3 (3x + 4) ← factor out (3x + 4)

    = (3x + 4) (2x + 3) ← in factored form
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