The given polynomial is x^2 - 81.

Step 1: Identify the terms in the polynomial. Here, we have two terms: x^2 and -81.

Step 2: Check if the first term is a perfect square. In this case, x^2 is a perfect square because it can be written as (x)^2.

Step 3: Check if the second term is a perfect square. Here, 81 is a perfect square because it can be written as (9)^2.

Step 4: Check if the polynomial is written as the difference of these two squares. Here, x^2 - 81 can be written as (x)^2 - (9)^2.

So, the given polynomial x^2 - 81 represents a Difference of Squares.

Question

The given polynomial is x^2 - 81.

Step 1: Identify the terms in the polynomial. Here, we have two terms: x^2 and -81.

Step 2: Check if the first term is a perfect square. In this case, x^2 is a perfect square because it can be written as (x)^2.

Step 3: Check if the second term is a perfect square. Here, 81 is a perfect square because it can be written as (9)^2.

Step 4: Check if the polynomial is written as the difference of these two squares. Here, x^2 - 81 can be written as (x)^2 - (9)^2.

So, the given polynomial x^2 - 81 represents a Difference of Squares.

Knowee AI · Accepted Answer

The given polynomial is x^2 - 81.

Step 1: Identify the terms in the polynomial. Here, we have two terms: x^2 and -81.

Step 2: Check if the first term is a perfect square. In this case, x^2 is a perfect square because it can be written as (x)^2.

Step 3: Check if the second term is a perfect square. Here, 81 is a perfect square because it can be written as (9)^2.

Step 4: Check if the polynomial is written as the difference of these two squares. Here, x^2 - 81 can be written as (x)^2 - (9)^2.

So, the given polynomial x^2 - 81 represents a Difference of Squares.

Instructions: Determine if the polynomial represents a Difference of Squares or Perfect Square Trinomial.x2−81