Question

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)

Answer 1

Answer:

D.  $(4x^2 + 3)(x + 2)$

Step-by-step explanation:

Hello!

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

Factor by Grouping

• $4x^3 + 8x^2 + 3x + 6$
• $(4x^3 + 8x^2) + (3x + 6)$
• $4x^2(x + 2) + 3(x + 2)$

Now we can combine the like factors:

• $(4x^2 + 3)(x + 2)$

The answer is Option D.