Pat is trying to complete the square on x^2 + 16x + 63 to find the minimum. After solving the problem, he obtains (x + ______)^2 + ________. Find the missing pieces in the blank spaces, so he can find the minimum of the function. Select ALL that apply
a) Term in first blank space is -8
b) Term in first blank space is -1
c) Term in first blank space is 8
d) Term in second blank space is -8
e) Term in second blank space is -1
f) Term in second blank space is 8
To complete the square for x^2 + 16x + 63, Pat would do the following steps:
1. Take half of the coefficient of x, which is 16, and square it:
(16/2)^2 = 64
2. Add and subtract the result from step 1 to the expression:
x^2 + 16x + 64 + 63 - 64
(x + 8)^2 - 1
Therefore, the missing pieces are:
a) Term in first blank space is -8
e) Term in second blank space is -1