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Rasek [7]
3 years ago
5

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
Mathematics
2 answers:
Sati [7]3 years ago
8 0
<span>24x</span>³<span> - 54x</span>²<span> + 44x - 99 =
(24x</span>³ + 44x) - (54x² + 99) = <span>
4x</span>(6x²+11)  - 9 (6x² + 11) = 
(4x-9)(6x²+11)

Answer: (6x²+11)
Xelga [282]3 years ago
4 0

Answer:

The common factor that is missing from both sets of parentheses is:

6X^2+11

Step-by-step explanation:

We are given a polynomial of degree 3 as:

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

Now we have to factor the given polynomial using grouping.

We proceed in the following steps:

  • 24x^3-54x^2+44x-99
  • 24x^3 + 44x-54x^2-99
  • 4x(6x^2+11)-9(6x^2+11)

( Since we take out the common terms in each of the following groups and obtain an common factor in both the groupings)

Hence, the common factor that is missing is:

6x^2+11

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