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.

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.

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