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13 February, 09:46

What is the factorization of the trinomial below?

3x^3-18x^2+24x

A. 3x (x-2) (x-4)

B. 3 (x-2) (x+4)

C. 3 (x^2-2) (x+4)

D. 3x (x-2) (x+4)

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Answers (1)
  1. 13 February, 09:58
    0
    3x^3 - 18x^2 + 24x

    We can factor a 3x from each term.

    3x (x^2 - 6x + 8)

    Now, we can factor the trinomial even further.

    Split the middle term.

    3x (x^2 - 2x - 4x + 8)

    3x (x (x - 2) - 4 (x - 2)

    3x (x - 4) (x - 2) is the fully factored form of the trinomial.

    The correct answer is A.
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Home » Mathematics » What is the factorization of the trinomial below? 3x^3-18x^2+24x A. 3x (x-2) (x-4) B. 3 (x-2) (x+4) C. 3 (x^2-2) (x+4) D. 3x (x-2) (x+4)
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