The expression 8x2 - 144x + 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998. Choose the equivalent expression that is most useful for finding the year where the population was at a minimum.

8 (x2 - 18x + 108)

8 (x2 - 18x) + 108

8 (x - 9) 2 - 216

8 (x - 9) 2 + 216

the first one

The answer to your question is the first one

Step-by-step explanation:

Data

Expression 8x² - 144x + 864

8 (x² - 18x + 108) This expression is correct because is factoring common terms. The common factor is 8.

8 (x² - 18x) + 108 This option is wrong because 108 must by multiply by 8.

8 (x - 9) ² - 216 This option is incorrect because the first two terms is not

a difference of squares.

8 (x - 9) ² + 216 This option is also wrong is a mistake the factor only the

first two terms.