Question

What is the greatest common factor for each group?

Answer 1

Left group:
`2x^(5\\)` Right group: 3

Explanation:

Right group: 3.x - 21 = 3.x - 3.7 = 3 . ( x - 7 )

21 is equal 3 times 7. When we do this change, it is clear which is the common factor, which is just the number 3.

Left group: 2
`x^(6\\)` + 14
`x^(5\\) \\` = 2
`x^(5\\)`.x + 2
`x^(5)`.7 = 2
`x^(5\\)` . (x + 7)

Explanation: From the first term we can take 2
`x^(5\\)` and an x is the rest. From the second term we take 2
`x^(5\\)` either, but here the rest is 14. That's the reason the common factor is 2
`x^(5\\)`.