Factoring Quadratics Complete the Square

Complete the Square
x² + 10x + ____

• x² + 10x - 100

• x² + 10x + 100

• x² + 10x - 25

• x² + 10x + 25

Tags

CCSS.HSA-REI.B.4B

How many solutions are there?

• 0

• 1

• 2

• Cannot be determined

When should you decide to Complete the Square?

• When the a value is larger than 1

• When the middle term is odd

• When a = 1 and the middle term is even

Tags

CCSS.HSA-REI.B.4B

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

• Set the equation equal to zero

• Divide 10 by 2 and add the result to both sides

• Add a² and 10a together

• Subtract the 21

Tags

CCSS.HSA-REI.B.4B

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

• 4

• 2

• 8

• 20

Tags

CCSS.HSA-REI.B.4B

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

x² + 6x = 5

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

Tags

CCSS.HSA-REI.B.4B

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

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

x² - 10x - 5 = 0

• x = -5 ± √30

• x = 5 ± √30

• x = 30 ± √5

• x = -30 ± √5

Tags

CCSS.HSA-REI.B.4B

Solve the following quadratics equation by completing the square... x^2 + 6x - 3 = 0

Tags

CCSS.HSA-REI.B.4B

Solve by completing the square.
x² +12x = 5

• X = 6 + √41 or  6 − √41

• X= 35 or 47

• X = −6 + √41 or  −6 − √41

• X = √35 or √47

Tags

CCSS.HSA-REI.B.4B