Factoring and Completing the Square

Find the missing value "c" to complete the square.

x² + 6x + ____

• 9

• 12

• 36

• - 9

Complete the square for
x² + 12x + ____

• x² + 12x + 144

• x² + 12x + 36

• x² + 12x - 36

• x² + +12x - 144

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

Factor
18a²b⁴c + 24ab³c²

• 6ab³c(3ab + 4c)

• 3abc(6ab³ + 8b²c)

• 6abc(3ab³ + 4c)

• 6ab3c(3b + 4c)

The quadratic shown is going to be solved by completing the square, the first step is shown

Problem: x² + 6x = 5

Step 1: x² + 6x + ​ (a)   = ​ (b)  

What are the missing values?

• 9

• 14

• 6

• 5

• -6

• -9

• 3

• 8

• 12

Solve the following quadratics equation by completing the square (a)  

• x = -2 ± √3

• x = -3 ± √2

• x = 2 ± √3

• x = 2 ± √2

Solve by completing the square. Write the answer as #+-square root. k² − 12k + 23 = 0

Mathematical Equivalence

ON

Solve by completing the square. Write the answer as #+-square root. k² − 12k + 23 = 0

Mathematical Equivalence

ON

Solve by completing the square. Write the answer as #+-square root.

x^2+4x-16=0

Mathematical Equivalence

ON

Mathematical Equivalence

OFF