Question

the polynomial that represents the product of two consecutive odd integers, the first one being (2x-1)​

Answer 1

Answer:

4x² - 1

Step-by-step explanation:

Given:

First odd number = 2x - 1

Then

second consecutive odd number = 2x - 1 + 2 = 2x + 1

The product of these consecutive odd numbers = (2x - 1)(2x + 1)

                                                                                = 4x² + 2x - 2x - 1

                                                                                = 4x² - 1

So 4x² - 1 is the polynomial which represent the product of consecutive odd numbers where first odd number is 2x - 1