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Use the grouping method to factor this polynomial completely.
4x³ + 8x²+3x+6
O A. (4x2 + 2)(x+3)
OB. (4x2+2)(x+2)
O C. (4x²+3)(x+3)
D. (4x² + 3)(x + 2)

Respuesta :

chetankachana

Answer:

D.  [tex](4x^2 + 3)(x + 2)[/tex]

Step-by-step explanation:

Hello!

We can group the first two terms and the last two terms and factor each group.

Factor by Grouping

  • [tex]4x^3 + 8x^2 + 3x + 6[/tex]
  • [tex](4x^3 + 8x^2) + (3x + 6)[/tex]
  • [tex]4x^2(x + 2) + 3(x + 2)[/tex]

Now we can combine the like factors:

  • [tex](4x^2 + 3)(x + 2)[/tex]

The answer is Option D.