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

D.
`(4x^2 + 3)(x + 2)`

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.