Question

What is the product?\ 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

24x³-54x²+44x-99

find the highest factors in both sides

6x² (4x-9) +11 (4x-9)

factor the (4x-9)

(6x²+11) (4x-9) is the factors by grouping

Answer 2

24x^3 - 54x^2 + 44x - 99

= 4x (6x^2 + 11) - 9(6x^2 + 11)

The answer is 6x^2 + 11.