Question

x2 + 8x + 6 (x2 + 8x + ) + 6 Erin was completing the square of the quadratic function in order to find the extreme value. What is the next step in the process, and what is the extreme value? A) (x + 8)2 - 58; the extreme minimum is -8 B) (x + 4)2 - 10; the extreme minimum is -4 C) (x2 + 8x + 16) + 6 - 16; the extreme minimum is -10 D) (x2 + 8x + 64) + 6 - 64; the extreme minimum is -58

Answer 1

Answer:

C.

Step-by-step explanation:

The next step is to add (1/2 * 8)^2 = 4^2 = 16 to the 8x and subtract 16 from the + 6:

- to give (x^2 + 8x + 16) + 6 - 16 as the next step in the process.

The extreme minimum is  +6 - 16 = -10.