Question

Use the grouping method to factor this polynomial.

x^3 + 2x^2 + 12x +24
A. (x^2+6)(x+2)
B. (x^2 +2)(x+6)
C. (x^2 +2)(x+12)
D. (x^2 +12)(x+2)

Answer 1

`( {x}^(2) + 12)(x + 2)`

Explanation:

`{x}^(3) +2 {x}^(2) +12x+24`

`( {x}^(3)+2 {x}^(2) )+12x+24`

`{x}^(2) (x+2)+12(x+2)`

`( {x}^(2) + 12)(x + 2)`

Hope it is helpful...