Completing the Square

Find the value of "c" that completes the square.

 $x_{ }^2+8x+c$  

• -4

• 4

• 8

• 16

Find the value of "c" that completes the square.

 $a^2-22a+c$  

• -121

• 121

• 11

• -11

Find the value of "c" that completes the square. Then rewrite the trinomial as a perfect square.

 $n^2-20n+c$  

•  $10;\ \left(n-10\right)^2$  

•  $100;\ \left(n-10\right)^2$  

•  $100;\ \left(n+10\right)^2$  

•  $10;\ \left(n+10\right)^2$  

Find the value of "c" that completes the square. Then rewrite the trinomial as a perfect square.

 $m_{ }^2+4m+c$  

•  $4;\ \left(m+4\right)^2$  

•  $2;\ \left(m+2\right)^2$  

•  $2;\ \left(m+4\right)^2$  

•  $4;\ \left(m+2\right)^2$  

Find the value of "c" that completes the square. Then rewrite the trinomial as a perfect square.

 $b^2-12b+c$  

•  $36;\ \left(b+6\right)^2$  

•  $36;\ \left(b-6\right)^2$  

•  $6;\ \left(b-36\right)^2$  

•  $6;\ \left(b-6\right)^2$  

What do you do to the b value to correctly complete the square?

• square it
• divide it by 2 and square the result
• divide it by 2 and take the square root of the result
• divide it by 2 only

When factoring

(x² - 4x + 4) -20 - 4

what goes in the blank?

(x - __ )² -24

• 4

• 2

• 8

• 20

Complete the Square

x² + 6x = 5

• (x + 3)² - 5

• (x + 6)² - 9

• (x + 3)² - 14

• (x + 6)² - 14

Put into Vertex form by completing the square:

k² − 12k + 23 = 0

• (x - 6)² - 13

• (x + 6)² - 13

• (x - 6)² + 59

• (x - 12)² - 13

Solve by completing the square.

x² +12x = 5

• (x - 6)² - 31

• (x + 6)² + 31

• (x + 12)² - 41

• (x + 6)² - 41