Final answer:
The terms of the polynomial y^2 +7 are considered relatively prime because they do not share any common factors other than 1. This is because 7 is a prime number and y^2 has no numerical factors that could be common with 7.
Step-by-step explanation:
The terms of the polynomial y^2 +7 are said to be relatively prime because they have no common factors other than 1. In this context, 'terms' refer to the distinct parts of the polynomial, which in this case are y^2 and 7. The term y^2 is a variable term, whereas 7 is a constant. A common factor would be a number or an expression that divides both terms without leaving a remainder.
Since 7 is a prime number, it has no divisors other than 1 and itself. The term y^2 contains a variable and does not have numerical factors apart from 1 that could also be a factor of the constant 7. Thus, no factor (except the number 1) can be divided into both terms evenly. This fundamental concept in mathematics ensures that each term in the polynomial stands independently without any common divisor, leading them to be classified as relatively prime to one another.