For this case we have the following polynomial:
[tex] x ^ 3 + 11x ^ 2 - 3x - 33
[/tex]
By grouping terms we have:
[tex] (x ^ 3 + 11x ^ 2) - (3x + 33)
[/tex]
Then, we make a common factor of the terms grouped in each parenthesis.
For the first parenthesis we make a common factor x^2.
For the second parenthesis we do common factor 3.
We have then:
[tex] x ^ 2 (x + 11) - 3 (x + 11)
[/tex]
Answer:
one way to determine the factors of [tex] x^3 + 11x^2 - 3x - 33 [/tex] by grouping is:
[tex] x ^ 2 (x + 11) - 3 (x + 11) [/tex]
