Quadratics

Factor completely!

Completing the square

Quadratic formula

Solving by taking square roots

Fun facts about Dr. I

100

Factor completely:

f(x) = x² + 18x +81

(x + 9)(x + 9)

100

Solve x²- 12x + 11 = 0 by completing the square. If necessary, round your answer to the nearest hundredth.

x = 11, 1

100

Solve 8x² - 4x = 18 using the quadratic formula. If necessary, round your answer to the nearest hundredth.

x = 1.77, -1.27

100

Solve this equation by using the square root method.

x² + 1 = 26

x = 5, -5

100

What breed of dog does Dr. I have?

Black lab

200

Factor completely:

f(x) = 2x³ +5x²y -2xy² -5y³

(2x+5y)(x+y)(x-y)

200

Solve k² - 12k + 23 = 0 by completing the square. If necessary, round your answer to the nearest hundredth.

k = 9.61, 2.39

200

Solve 9x² - 11 = 6x using the quadratic formula. If necessary, round your answer to the nearest hundredth.

x = 1.49, -0.82

200

Solve this equation by using the square root method.

(x - 4)² - 16 = 0

x = 0, 8

200

What is Dr. I's favorite extracurricular activity?

Running

300

Factor completely:

f(x) = -3x + 18x² - 6

3(2x + 1)(3x - 2)

300

Solve n²= 18n + 40 by completing the square. If necessary, round your answer to the nearest hundredth.

n = 20, -2

300

Solve 4x² - x = 8 using the quadratic formula. If necessary, round your answer to the nearest hundredth.

x = 1.54, -1.29

300

Solve this equation by using the square root method.

13x² - 3 = 4209

x = 18, -18

300

What is Dr. I's favorite lunch at MBS?

Buffalo chicken wrap

400

Factor completely:

f(x) = 81x⁴ - 16

(9x² +4)(3x + 2)(3x - 2)

400

Solve 2x² = -6 + 8x by completing the square. Round your answer to the nearest hundredth.

x= 3, 1

400

Solve 4x² + 1 = 6x² + 7x by using quadratic formula. If necessary, round your answer to the nearest hundredth.

x = -3.64, 0.14

400

Solve this equation by using the square root method.

f(x) = 2(1 - (-x -3)²)

x = -4, -2

400

Who is Dr. Ievers's celebrity crush?

Chris Hemsworth

500

Factor completely:

3x⁵ - 87x³ + 300x

3x(x + 2)(x - 2)(x + 5)(x - 5)

500

Solve 3x² = -4 + 8x by completing the square. If necessary, round your answer to the nearest hundredth.

x = 2, 0.67

500

Solve 10x² + 9 = x by using quadratic formula. If necessary, round your answer to the nearest hundredth.

No real solutions

500

In what two situations is the square root method the most efficient factoring method to use?

1) When the quadratic is in vertex form

2) When b = 0

500

What state did Dr. I live in before moving to New Jersey to work at MBS?

Maryland