Completing the Square

Write the following quadratic expression in completed square form...

x² + 4x + 10

• (x + 4)² + 6

• (x + 2)² + 6

• (x + 4)² - 6

• (x + 2)² - 6

Tags

CCSS.HSA-REI.B.4B

Write the following quadratic expression in completed square form...

x² + 8x + 2

• (x + 4)² - 14

• (x + 4)² - 6

• (x + 4)² - 18

• (x + 4)² + 6

Tags

CCSS.HSA-REI.B.4B

Write the following quadratic expression in completed square form...

x² - 10x - 4

• (x - 5)² - 29

• (x - 5)² - 21

• (x + 5)² + 14

• (x + 5)² - 29

Tags

CCSS.HSA-REI.B.4B

Create a Perfect Square Trinomial
x² + 6x + ____

• 6
• -6
• 9
• -9

Tags

CCSS.HSA-REI.B.4B

Create a Perfect Square Trinomial
x² + 22x + ____

• 11
• - 11
• 121
• -121

Tags

CCSS.HSA-REI.B.4B

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

Tags

CCSS.HSA-REI.B.4B

Solve the following equation by completing the square:
n² - 2n - 3 = 0

• {3 and-1}
• {4 and -4}
• {5 and -3}
• {8 and -7}

Tags

CCSS.HSA-REI.B.4B

Solve the equation by completing the square and then finding the roots. 
x²+ 6x - 4 = 36

• x = -7, 7
• x = 4, -10
• x = -4 +- √7
• x = 10, -4

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratics equation by completing the square...

x² + 6x - 3 = 0

• x = -3 ± √12

• x = 3 ± √12

• x = 12 ± √3

• x = -12 ± √3

Tags

CCSS.HSA-REI.B.4B