Question

Patricio is solving a problem in class. He 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 so he can find the minimum of the function. Select all that apply.

A. Term in first blank space: -8

B. Term in first blank space: -1

C. Term in first blank space: 8

D. Term in second blank space: -8

E. Term in second blank space: -1

F. Term in second blank space: 8

Answer 1

[AI-generated answer — Bot GPT 3.5]

To complete the square on x^2 + 16x + 63, Patricio needs to find the value that can be added to both sides to create a perfect square trinomial.

Starting with x^2 + 16x + 63, we take half of the coefficient of x (which is 16) and square it to get 64. So the value to be added is 64.

(x^2 + 16x + 64) + 63 - 64
(x + 8)^2 - 1

So the missing pieces are:
A. Term in first blank space: -8
E. Term in second blank space: -1