Question

Factor the polynomial completely.

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

Answer 1

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

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):

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

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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):

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

Answer 2

(4x2+7)(x-3)

Explanation: