Final answer:
The GCF of the polynomial 2(y+2) - 4(y+2) is (y+2). Factoring out the GCF results in a simplest form of the polynomial: -2*(y+2).
Step-by-step explanation:
The principle of factoring is to reduce a polynomial by separating out the Greatest Common Factor (GCF). For the polynomial 2(y+2) - 4(y+2), the GCF is (y+2).
To factor out the GCF, we combine the like terms together. The step-by-step process is as follows:
- First, we view the polynomial this way: 2*(y+2) - 4*(y+2)
- We can notice that (y+2) is a common factor. Therefore, we take it outside of the brackets: (y+2)*(2-4)
- The final answer will be: -2*(y+2).
This is the polynomial where the GCF of (y+2) has been factored out.
Learn more about Factoring Polynomials