Question

The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping. 24x3 − 54x2 + 44x − 99 24x3 + 44x − 54x2 − 99 4x(____) − 9(____) What is the common factor that is missing from both sets of parentheses? 6x + 11 6x − 11 6x2 + 11 6x2 − 11

Answer 1

Answer: C. 6x²+11

This is the answer to your problem.

Answer 2

Answer: 6x² + 11

Explanation:

24x³ - 54x² + 44x - 99

= 6x²(4x - 9) + 11(4x - 9)

= (6x² + 11) (4x - 9)

This can be rewritten as: 4x(6x² + 11) - 9(6x² + 11)