Question

Explain why the terms of the polynomial y2 + 7 are said to be relatively prime.

Answer 1

The correct answer is because the alternative terms are prime and composite.

Explanation:

The given polynomial is
`y^(2)` + 7.

The value of the polynomial when y = 0 is 7.

The value of the polynomial when y = 1 is 8.

The value of the polynomial when y = 2 is 11.

The value of the polynomial when y = 3 is 16.

The value of the polynomial when y = 4 is 23.

The value of the polynomial when y = 5 is 32.

The value of the polynomial when y = 6 is 43.

And so on. Thus the value of the polynomial at alternate values of y are prime. Thus this is why the polynomial is said to be relatively prime.