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23 October, 17:19

What is 12x2+10x+2 factored completely?

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  1. 23 October, 17:35
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    2 (2x + 1) (3x + 1)

    Step-by-step explanation:

    given

    12x² + 10x + 2 ← factor out 2 from each term

    = 2 (6x² + 5x + 1) ← factor the quadratic

    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 = 6 * 1 = 6, sum = + 5

    The factors are + 3 and + 2

    Use these factors to split the middle term

    6x² + 3x + 2x + 1 (factor the first/second and third/fourth terms)

    = 3x (2x + 1) + 1 (2x + 1) ← take out the common factor (2x + 1)

    = (2x + 1) (3x + 1)

    12x² + 10x + 2 = 2 (2x + 1) (3x + 1) ← in factored form
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