Explain why the terms of the poynomial $$ y^{2}+7 $$ are said to be relaseld/ prime. Choose the correct answer below A. The two terms of the polynomial share no common factors other than 1. B. The numbers 7 and 1 are prime numbers. C. The two terms of the pol)nomial share common factors only when y is a mutipie of 7 . D. The terms 7 and $$ y^{2} $$ are prime numbers.

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To determine why the terms of the polynomial $$ y^{2} + 7 $$ are said to be relatively prime, we need to analyze the options provided.

1. **Understanding Relatively Prime**: Two terms (or numbers) are said to be relatively prime if their greatest common divisor (GCD) is 1, meaning they share no common factors other than 1.

2. **Analyzing the Terms**: The terms in the polynomial $$ y^{2} + 7 $$ are $$ y^{2} $$ and $$ 7 $$.

Now, let's evaluate the options:

A. **The two terms of the polynomial share no common factors other than 1.**
   - This is true. The term $$ y^{2} $$ is a variable term, and $$ 7 $$ is a constant. They do not share any common factors other than 1.

B. **The numbers 7 and 1 are prime numbers.**
   - While 7 is a prime number, 1 is not considered a prime number. This statement does not address the relationship between the terms of the polynomial.

C. **The two terms of the polynomial share common factors only when y is a multiple of 7.**
   - This is incorrect. The terms $$ y^{2} $$ and $$ 7 $$ do not share any common factors regardless of the value of $$ y $$.

D. **The terms 7 and $$ y^{2} $$ are prime numbers.**
   - This is misleading. While $$ 7 $$ is a prime number, $$ y^{2} $$ is not a number but a variable expression. This statement does not correctly describe the relationship between the terms.

Based on this analysis, the correct answer is:

**A. The two terms of the polynomial share no common factors other than 1.**
The two terms of the polynomial $$ y^{2} + 7 $$ share no common factors other than 1.

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