Answer:
(x - 4)^2 - 2
Step-by-step explanation:
Step 1: Make sure the coefficient of x^2 is 1
1 [x^2 - 8x + 14]
Step 2: Express the coefficient 8x as (8x multiplied by 1/2) the express the answer as two half's positive and negative squared
1 [x^2 - 8x + (-4)^2 - (-4)^2 + 14]
Step 3: Separate the function into two parts from the negative of the coefficient of 8x (4) solve the part then factorise the other part
1 [ ( x - 4 )^2 - 2 ]
Step 4: Distribute the factor (1)
(x + 4)^2 - 2
