Question

Which shows one way to determine the factors of x3 + 11x2 – 3x – 33 by grouping?

x2(x + 11) + 3(x – 11)

x2(x – 11) – 3(x – 11)

x2(x + 11) + 3(x + 11)

x2(x + 11) – 3(x + 11)

Answer 1

one way to determine the factors of by grouping is:

D

Explanation:

i test the quiz

Answer 2

For this case we have the following polynomial:

`image`

By grouping terms we have:

`image`

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:

`image`

Answer:

one way to determine the factors of
`x^3 + 11x^2 - 3x - 33` by grouping is:

`x ^ 2 (x + 11) - 3 (x + 11)`