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17 September, 01:45

Antonia is factoring the polynomial, which has four terms.

21x3-63x2+15x-45

3[7x3-21x2+5x-15]

3[7x2 (x-3) + 5 (x-3) ]

Which is the complete factored form of her polynomial?

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Answers (2)
  1. 17 September, 03:47
    0
    Step-by-step explanation:

    It looks like the terms are:

    (7x2 + 5) and (x - 3)
  2. 17 September, 04:02
    0
    3 (x - 3) (7x^2 + 5).

    Step-by-step explanation:

    21x3 - 63x2 + 15x - 45

    The greatest common factor of the constants is 3, so we have:

    3 (7x^3 - 21x^2 + 5x - 15)

    Now we factor this by grouping:

    = 3 [7x^2 (x - 3) + 5 (x - 3)

    = 3 (x - 3) (7x^2 + 5).
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