Completing the Square

Choose the number that goes in the blank to create a perfect square trinomial.

 $x^2+12x+$  _____

• 36

• 144

• 6

• 24

Choose the number that goes in the blank to create a perfect square trinomial.

 $x^2+20x+$  _____

• 50

• 40

• 100

• 20

Choose the number that goes in the blank to create a perfect square trinomial.

 $x^2-24x+$  _____

• 12

• 144

• 100

• -144

Factor the following perfect square trinomial.

 $x^2-14x+49$  

•  $\left(x+7\right)^2$  

•  $\left(x-7\right)^2$  

•  $\left(x+7\right)\left(x-7\right)$  

•  $\left(x-14\right)^2$  

Factor the following perfect square trinomial.

 $x^2+22x+121$  

•  $\left(x+22\right)^2$  

•  $\left(x+12\right)^2$  

•  $\left(x+11\right)^2$  

•  $\left(x-11\right)^2$  

Factor the following perfect square trinomial.

 $x^2+16x+64$  

•  $\left(x+16\right)^2$  

•  $\left(x+6\right)^2$  

•  $\left(x-8\right)^2$  

•  $\left(x+8\right)^2$  

Convert the following equation into vertex form. 

 $f\left(x\right)=x^2-2x-5$  

•  $f\left(x\right)=(x-1)^2-6$  

•  $f\left(x\right)=-(x-1)^2-6$  

•  $f\left(x\right)=(x+1)^2-6$  

•  $f\left(x\right)=-(x+6)^2-1$  

Convert the following equation into vertex form.

 $f(x)=x^2+12x-2$  

•  $f(x)=(x+6)^2+142$  

•  $f(x)=(x+6)^2-34$  

•  $f(x)=(x+6)^2-38$  

•  $f(x)=(x+6)^2+34$  

Convert the following equation into vertex form. 

 $f\left(x\right)=x^2+4x$  

•  $f\left(x\right)=(x+4)^2-4$  

•  $f\left(x\right)=(x-2)^2+4$  

•  $f\left(x\right)=(x+2)^2-4$  

•  $f\left(x\right)=(x+2)^2$  

Convert the following equation into vertex form.

 $f(x)=x^2-8x+1$  

•  $f(x)=(x-4)^2-15$  

•  $f(x)=(x-4)^2+17$  

•  $f(x)=(x-4)^2-17$  

•  $f(x)=(x-4)^2+65$