Question

. Explain why the terms of the polynomial y 2 + 7 are said to be relatively prime.

Answer 1

The terms of the polynomial y² + 7 are said to be relatively prime because the highest integer that divides them both is 1.

Explanation:

Two terms of a polynomials are said to be relatively prime if 1 is the highest integer that divides them both.

The terms of the polynomial y² + 7 are y² and 7.

These terms are said to be relatively prime because the highest integer that divides them both is 1.

Answer 2

No common factor except 1.

Explanation:

Two numbers are said to be relatively prime when they have no common factor except 1.

The terms of the polynomial
`y^2+7` have no common factor and in fact cannot be factorized further, therefore:

`y^2,$ and 7` are relatively prime.