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?

Answer 1

I hope this helps you

Answer 2

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  $(6x^2+11)$