Factor the polynomial completely.

4x3 – 12x2 + 7x – 21
4x2(x – 3) + 7(x – 3)
which is the completely factored polynomial?

Both equations have the same result. (x - 3) (4 x^2 + 7)

Step-by-step explanation:

Factor the following:

4 x^3 - 12 x^2 + 7 x - 21

Factor terms by grouping. 4 x^3 - 12 x^2 + 7 x - 21 = (4 x^3 - 12 x^2) + (7 x - 21) = 4 x^2 (x - 3) + 7 (x - 3):

4 x^2 (x - 3) + 7 (x - 3)

Factor x - 3 from 4 x^2 (x - 3) + 7 (x - 3):

(x - 3) (4 x^2 + 7)

Factor the following:

4 x^2 (x - 3) + 7 (x - 3)

Hint: | Factor common terms from 4 x^2 (x - 3) + 7 (x - 3).

Factor x - 3 from 4 x^2 (x - 3) + 7 (x - 3):

 (x - 3) (4 x^2 + 7)

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step-by-step explanation: