Complete the square to determine the maximum or minimum value of the function defined by the expression. - x2 - 10x + 14 A) minimum value at 25 B) maximum value at 39 C) maximum value at - 5 D) minimum value at - 39

B) maximum value at 39

B) maximum value at 39.

Step-by-step explanation:

maximum value at 39

First, set the expression equal to 0.

-x2 - 10x + 14 = 0

Complete the square.

-x2 - 10x = - 14

- (x2 + 10x) = - 14

- (x2 + 10x + 25) = - 39

- (x + 5) 2 + 39 = 0.

Therefore, the maximum value is 39.