Alg2CP - Completing the Square

Completing the Square

Algebra 2 CP

Open Ended

Open Ended

Multiple Choice

Fill in the blank to make a perfect square

 $x^2+16x+$  __

• 16

• 64

• 256

• 8

Multiple Choice

Fill in the blank to make a perfect square

 $x^2-6x+$  __

• -6

• -3

• 9

• 36

Multiple Choice

Factor this perfect square trinomial

 $x^2+4x+4$  

•  $\left(x+4\right)^2$  

•  $\left(x-4\right)^2$  

•  $\left(x+2\right)^2$  

•  $\left(x-2\right)^2$  

Why complete the square?

To help graph!

Ex:

 $f\left(x\right)=\left(x-6\right)^2-26$  

Multiple Choice

Complete the square for

 $f\left(x\right)=x^2+10x-6$  

•  $f\left(x\right)=\left(x+5\right)^2-6$  

•  $f\left(x\right)=\left(x+5\right)^2-31$  

•  $f\left(x\right)=\left(x+5\right)^2+19$  

Multiple Choice

Complete the square for

 $f\left(x\right)=x^2-12x+10$  

•  $f\left(x\right)=\left(x-6\right)^2-26$  

•  $f\left(x\right)=\left(x+6\right)^2-26$  

•  $f\left(x\right)=\left(x-6\right)^2+46$