Question

Use the grouping method to express the polynomial below as a product of its

factors. Write each factor as a polynomial in descending order.
3x + 12

Answer 1

To express the polynomial 3x + 12 as a product of its factors using the grouping method, you can group the terms, factor out the greatest common factor, and factor out the common factor of the two terms.

Step-by-step explanation:

To express the polynomial 3x + 12 as a product of its factors using the grouping method, we can group the terms as follows:

(3x + 12) = (3x + 6) + (6)

Now, we can factor out the greatest common factor from each group:

(3x + 6) + (6) = 3(x + 2) + 6

Lastly, we can factor out the common factor of the two terms:

3(x + 2) + 6 = 3(x + 2) + 3(2)

Therefore, the polynomial 3x + 12 can be expressed as a product of its factors as: 3(x + 2) + 3(2)