x2 + 8x + 6 (x2 + 8x + ) + 6 Erin was completing the square of the quadratic function in order to find the extreme value. What i

Question

3 years ago

11

x2 + 8x + 6 (x2 + 8x + ) + 6 Erin was completing the square of the quadratic function in order to find the extreme value. What i

s 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

Mathematics

1 answer:

kolezko [41] · Answer 1 · 2022-08-28T22:14:26+03:00

kolezko [41]3 years ago

6 0

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.