Question

Complete the square for the expression x^2+8x. Then factor the trinomial.
x^2 + 8x + _ = _

Answer 1

see below

Explanation:

x^2 + 8x + _ = _

To complete the square, take the coefficient of the x term

8

Divide by 2

8/2 =4

Square it

4^2 =16

Add this to both sides

x^2 + 8x + 16_ = 16_

Now the left side factors into (x+ 8/2)^2

(x+4)^2 = 16