Question

Find the product of (x − 9)2 and explain how it demonstrates the closure property of multiplication. x2 − 81; is a polynomial x2 − 81; may or may not be a polynomial x2 − 18x + 81; is a polynomial x2 − 18x + 81; may or may not be a polynomial

Answer 1

Answer: x2 − 18x + 81; may or may not be a polynomial

Step-by-step explanation:The answer is  (x2 − 18x + 81; may or may not be a polynomial) it is he poduct of (x - 9)^2 and demonstrates the closure property.

Answer 2

Answer:

x2 − 18x + 81; may or may not be a polynomial

Step-by-step explanation:

To find the product of (x-9)².

We will have to multiply x-9 function in two places since it is squared to have;

(x-9)² = (x-9)(x-9)

(x-9)(x-9) = x²-9x-9x+81

= x²-18x+81

(x-9)² = x²-18x+81

This function may or may not be a polynomial. Polynomials are functions with degree of 3 and above. Some functions that has degree of their power less than three (like a quadratic equation) are also considered a polynomial.