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?
Answer:
The factor that is missing from sets of parenthesis is \((6x^2+11)\)
Step-by-step explanation:
The given polynomial is
\(24x^3-54x^2+44x-99\)
We can rewrite this polynomial as
\(24x^3+44x-54x^2-99\)
This polynomial can be factored by making groups as shown below
\((24x^3+44x)+(-54x^2-99)\)
Now, we take GCF from each group.
From the first group we take 4x common
From the second group we take -9 common
\(4x(6x^2+11)-9(6x^2+11)\)
We can see that the factor that is missing from sets of parenthesis is \((6x^2+11)\)