Question

10. NUMBER THEORY There are two integers. One is

5 more than a number, and the other is 1 less than
the same number. Write expressions for the two numbers. Write a polynomial expression for the product of
the numbers.

Answer 1

Explanation:

Let the number = x

integer 1: x + 5

integer 2: x - 1

product: (x + 5) (x - 1)

The product is

f: x^2

o: x*-1 = -x

i: 5*x = 5x

l: 5 * -1 = - 5

x^2 - x + 5x - 5

x^2 +4x - 5