Solving Polynomials

Quadratic Formula

100

-x² - 10x + 45 = -6x

{-9, 5}

200

-4x² + 7x - 4 = -6x²

{.5, -4}

300

x² - 3(x - 7) = 7x - 4

{5}

400

-2(x² + x) - 90 = -5(x² + 1)

{5.7, -5}

500

5(x² - 3) = 2(2x² - 3) + 3x

{4.9, -1.9}

Factoring Patterns

100

x² - 81 = 0

{9, -9}

200

x² + 8x + 16 = 0

{-4}

300

4(x² - 10) = 9

{3.5, -3.5}

400

3(3x² + 2) = -1

{-.3}

500

25x² = 4(5x -1)

{.4}

Quadratic Trinomial

100

x² + 22x + 21 = 0

{-1, -21}

200

(3x + 1)(x - 5) = -3x(x + 1) + 2(1 + 4x)

{-.3, 3.5}

300

12x² + 5x - 3 = 0

{-.75, .3}

400

3x² - x = 14

{-2, 2.3}

500

x(x -3) = 2(4 + 2x)

{-1, 8}

Grouping/Box Method

100

2x⁴ - 6x³ - 18x² + 54x = 0

{0, -3, 3}

200

2x³ - x² - 7x + 6 = 0

{-2, 1.5, 1}

300

x³ - 4x² = 3x + 12

{-4, 1.7, -1.7}

400

x³ + 6x² - 9x - 14 = 0

{-7, -1, 2}

500

3x⁴ - 3x³ - 12x² = -12x

{-2, 0, 1, 2}

Trivia

100

What is a group of geese called?

A gaggle

200

What is a group of jellyfish called?

A bloom

300

What is a group of kittens called?

A kindle

400

What is a group of zebras called?

A dazzle

500

What do you call a group of Pandas called?

An embarrassment