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3 February, 06:08

Consider the equation y=-x^2-7x+12

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  1. 3 February, 07:59
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    y = (x + 4) (x + 3)

    Step-by-step explanation:

    y = x ^2 + 7x + 12

    The two numbers must add up to 7 and has a product of 12, and since the equation is all positive, then the two numbers are positive too.

    So y = (x + 4) (x + 3) is the answer.

    Check:

    y = (x + 4) (x + 3)

    y = x (x + 3) + 4 (x + 3) distributive property

    y = x^2 + 3x + 4x + 12

    y = x^2 + 7x + 12
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