Given that there are two integers:
- One is 5 more than a number.
- The other integer is 1 less than the same number.
Let be "x" the same number.
A. You can identify that "5 more than a number" indicates Addition. Therefore, you can write this expression for the first integer:
You can also identify that "1 less than the same number" indicates Subtraction. Then, you can write this expression to represent the second integer:
B. By definition, a Product is the result of a Multiplication.
Therefore, you need to write the Multiplication of the expressions found in Part A:
In order to write a polynomial expression for the Product of the integer numbers, you can multiply the expressions. You can apply the FOIL Method and, which states that:
And then adding the like terms. You get:
Hence, the answers are:
A. - Expression for the first integer number:
- Expression for the second integer number:
B.
