Question

Use the grouping method to factor this polynomial.

x2 + 2x2 + 12x + 24
O A. (x2 +12)(x+2)
O B. (x2 +6)(x+2)
C. (x² + 2)(x+6)
O D. (x2 + 2)(x+12)

Answer 1

A. (x² + 12)·(x + 2)

Explanation:

Question; Factor x³ + 2·x² + 12·x + 24, using the grouping method

The given polynomial is presented as follows;

x³ + 2·x² + 12·x + 24

Using the grouping method, we have;

(x³ + 2·x²)( + 12·x + 24)

Which gives;

x²·(x + 2) + 12·(x + 2)

Therefore, we get;

(x² + 12)·(x + 2)

The correct option is A. (x² + 12)·(x + 2).