Question:

Factor completely 4x^3-8x^2-25x+50?

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  1. Hint: the original expression=

    4x^2(x-2)-25(x-2)=?

    You complete it yourself.


  2. 4x^3-8x^2-25x+50

    (4x^3-8x^2) -(25x-50)

    4x^2(x-2) -25(x-2)

    (x-2) (4x^2-25)

    (x-2) [(4x^2-25)]

    (x-2) [(2x)^2-(5)^2]

    (x-2) (2x+5)(2x-5)

    Hope this helps. !

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