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erik
17 days ago
12

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?

Mathematics
2 answers:
Leona [9.2K]17 days ago
6 0

Answer:

The common factor that is not present in the parentheses is (6x^2+11)

Step-by-step explanation:

The polynomial in question is

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

This can be rearranged as

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

The expression can be grouped and factored as shown

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

Next, we will extract the GCF from each grouping.

The first group will have 4x taken out

The second group will have -9 extracted

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

The missing factor from the parentheses is identified as (6x^2+11)

babunello [8.4K]17 days ago
6 0
I trust this information is beneficial to you

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