Answer :
Final answer:
The greatest common factor (GCF) of 30x⁵, 110x⁶, 60x⁷ is 10x⁵. This is found by determining the highest factor common to both the coefficients (30, 110, 60) and the powers of 'x'. The GCF for the coefficients is 10 and the GCF for the variables is x⁵.
Explanation:
The greatest common factor (GCF) is the highest factor which is common to all the terms. When dealing with terms like 30x⁵, 110x⁶, and 60x⁷, we look for the GCF in both the coefficients (the numerical part: 30, 110, 60) and the variables (the 'x' with its powers).
To find the GCF of the coefficients, divide all of them by their lowest common factor. The GCF of 30, 110, and 60 is 10.
For the variables, look at the powers of 'x'. The smallest power is 5 in the term 30x⁵. Therefore, the 'x' part of the GCF is x⁵.
When you combine the GCF of the coefficients and the GCF of the variables, you get the overall GCF of the terms. Hence, the GCF of 30x⁵, 110x⁶, 60x⁷ is 10x⁵.
Learn more about Greatest Common Factor here:
https://brainly.com/question/35541703
#SPJ11
