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5 October, 11:38

Factor the expression 4x^2 - 12x - 7

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  1. 5 October, 11:54
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    (2x+1) (2x-7)

    Step-by-step explanation:

    Multiply the coefficient of the first term by the constant 4 • - 7 = - 28

    Find two factors of - 28 whose sum equals the coefficient of the middle term, which is - 12

    (-28 + 1 = - 27

    -14 + 2 = - 12)

    Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 14 and 2

    4x2 - 14x + 2x - 7

    Add up the first 2 terms, pulling out like factors:

    2x • (2x-7)

    Add up the last 2 terms, pulling out common factors:

    1 • (2x-7)

    Add up the four terms:

    (2x+1) • (2x-7)
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