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

The factor that is missing from sets of parenthesis is
`(6x^2+11)`

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)`