Question

Complete the square for the expression

x
2
+8x
x2+8x
. Then factor the trinomial.

Answer 1

x^2+8x+16

(x+4)^2

Explanation:

x^2 +8x

Take the coefficient of the x term

8

Divide by 2

8/2 =4

Square it

4^2 =16

x^2+8x+16

We can factor it into

(x+8/2) ^2

(x+4)^2