Completing the Square

Completing the Square

Math 2

EQ: Thursday, November 30, 2023

• How do I find Complete the Square for a Quadratic Expression?

Multiple Choice

Give the product as a trinomial.

$$\left(x-6\right)^2$$

Hint: Multiply in the BOX.

• $$x^2-12x+36$$

• $$x^2+12x-36$$

• $$x^2+36$$

• $$2x^2-36$$

Math Response

Give the product.

$$\left(x-8\right)^2$$

Type answer here

Correct Answer: x^2-16x+64

Deg^°

Rad

Math Response

Give the product.

$$\left(x+3\right)^2$$

Type answer here

Correct Answer: x^2+6x+9

Deg^°

Rad

Math Response

Give the product.

$$\left(x+7\right)^2$$

Type answer here

Correct Answer: x^2+14x+49

Deg^°

Rad

Math Response

Give the missing number.

$$\left(x+7\right)^2=x^2+\ldots x+49$$

Type answer here

Correct Answer: 14

Deg^°

Rad

Math Response

Give the missing number.

$$\left(x+7\right)^2=x^2+14x+\ldots$$

Type answer here

Correct Answer: 4

Deg^°

Rad

​This trinomial is called a Perfect Square because it can be written as a squared binomial.

Multiple Choice

What number would make this a perfect square?

x² + 8x + ____

• 64

• 16

• 4

Multiple Choice

What number would make this a perfect square?

x² + 6x + ____

• 9

• 36

• 12

• 60

Math Response

What number would make this a perfect square?

x² + 10x + ____

Type answer here

Correct Answer: 25

Deg^°

Rad

Math Response

What number would make this a perfect square?

x² - 12x + ____

Type answer here

Correct Answer: 36

Deg^°

Rad

Math Response

What number would make this a perfect square?

x² + ____x + 25

Type answer here

Correct Answer: 10

Deg^°

Rad

Math Response

What number would make this a perfect square?

x² + ____x + 100

Type answer here

Correct Answer: 20

Deg^°

Rad

Math Response

What number would make this a perfect square?

x² + ____x + 144

Type answer here

Correct Answer: 24

Deg^°

Rad

​Solving Quadratics by Completing the Square

​Solving Quadratics by Completing the Square

​

1. ​​Move c to other side of equation.

2. Write the perfect square format

   (x + ___)² = _______

3. Put half of b in first blank and the squared of b on the second.

4. Solve by taking the square root of both sides and adding.

​Solving Quadratics by Completing the Square

​

1. ​​Move c to other side of equation.

2. Write the perfect square format

   (x + ___)² = _______

3. Put half of b in first blank and the squared of b on the second.

4. Solve by taking the square root of both sides and adding.

​Solving Quadratics by Completing the Square

​

1. ​​Move c to other side of equation.

2. Write the perfect square format

   (x + ___)² = _______

3. Put half of b in first blank and the squared of b on the second.

4. Solve by taking the square root of both sides and adding.

​Solving Quadratics by Completing the Square

​Solving Quadratics by Completing the Square