Complete the Square when a=1

Complete the Square when a=1

What is a perfect square trinomial?

•  $\sqrt{c}\ =\ \frac{b}{2\ }$  

• Th sqaure root of c is equal to b divided b 2

Multiple Choice

Square roots are the opposite of ____________.

• Cube Roots
• Squaring
• Multiplication
• Absolute Value

Multiple Choice

Is this a perfect square trinomial?
x² + 18x + 9

• Yes
• No

Multiple Choice

Is this a perfect square trinomial?

x² + 16x + 64

• Yes

• No

Factor and Solve Perfect Square Trinomial

• Must be in proper form

•  $x^2+bx=c$  

• Move terms to put into proper form if needed

Multiple Choice

To solve by completing the square, what needs to be moved in this equation? $x^2=6x+8$  

• Move the  $6x$  

• Move the  $8$  

• Move the  $x^2$  

Multiple Choice

What is the first step to solving THIS equation by completing the square? $𝑥^2−10𝑥+7=0$  

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

• Subtract the 7

• Add $x^2$  and  $10x$   together

• Set the equation equal to zero

Multiple Choice

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

Multiple Choice

To solve by completing the square, what needs to be moved in this equation?
x² = 9 - 4x

• the -4x
• the 9
• the x²

Change b term

• Divide by 2

• Square answer

• Add to both side

Multiple Choice

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

• Factor perfect square trinomial

• 
  

• 
  

Multiple Choice

Factor: x² + 24x + 144

• (x + 12)²
• (x + 9)²
• (x + 15)²
• (x + 13)²

Multiple Choice

When factoring

x² - 4x + 4 = 20,

what goes in the blank?

(x - __ )² = 20

• 4

• 2

• 8

• 20

Solve

• Take square root of both sides

• Use  $\pm$  symbol when taking square roots

• Solve for x

• Solve each piece by adding and subtracting

• Curly brackets - least to greatest

Multiple Choice

When do you use the plus or minus symbol?
±

• After taking the square root of both sides
• After adding the square to both sides
• After taking half of b
• After setting the equation equal to zero

Multiple Choice

 $\cdot$   $x^2+6x+9=1$  Factor and solve:

• x={4, 2}

• x={-4, -2}

Multiple Choice

Solve by completing the square:

n² - 2n - 3 = 0

• n = 3 and -1

• n = 4 and -4

• n = 5 and -3

• n = 8 and -7

Multiple Choice

Solve by completing the square:

x² + 10x = -9

• x = 1 and -12

• x = -1 and -9

• x = 1 and -9

• x = 1 and -1