Complete the square for x 2 − 16x + __ . then write the resulting expression as a binomial squared. a. −64; (x + 8) 2 b. −64; (x − 8) c. 64; (x − 8) 22 d. 64; (x + 8) 2

Correct Option C

The given expression is:



The formula for complete square is:



The given expression can be re-written as:



So, we have the square of first term which x and twice the product of first and second term x and 8. What is missing is the square of second term. Second term is 8. So square of 8 which equals 64 is missing.

Therefore, complete square will be: