Polynomials and Quadratics

Adding/Subtracting

100

 (3x² + 2x) + (5x² - 3)

8x² + 2x - 3

200

(4x³ + x²) - (4x² - 8x)

4x³ - 3x² +8x

300

(m² + 2) + (-5m² - 8)

-3m² - 6

400

(x² + 5x - 4) + (2x² - 5x +1)

3x² - 3

500

(x² + 5x - 4) - (2x² - 5x +1)

-x²+ 10x - 5

Multiplying Polynomials

100

(x + 5)(x + 2)

x² + 7x + 10

200

(m - 3)(m² + 4m + 5)

m³ + m² - 7m -15

300

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

4x² - 25

400

(x - 9)(2x² + 2x - 5)

2x³ -16x² - 23x +45

500

(3x - 2)(5x - 9)

15x² -37x + 18

Factoring

100

3x² + 6xy 

3x(x + 2y)

200

x² + 3x - 28

(x+7)(x-4) or (x-4)(x+7)

300

16x²- 49

(4x + 7)(4x - 7) or (4x - 7)(4x + 7)

400

2x² + 18x + 40

2(x + 4)(x + 5) or 2(x + 5)(x + 4)

500

2x² + 7x +6

(2x + 3)(x + 2) or (x + 2)(2x + 3)

Solving by Factoring

100

Solve x² + 3x - 18 = 0

{-6, 3}

200

x² - 6x + 8 = 0

{2, 4}

300

m² - 15m +50 = 0

{5, 10}

400

x² + 5x = 14

{-7, 2}

500

2x² -6x = -4

{1, 2}

Quadratic Formula

100

What are the values of a, b, and c to plug into the quadratic formula?

4x² - 7x +2 = 0

a = 4, b = -7, c = 2

200

What are the values of a, b, and c to plug into the quadratic formula? 5x² - 9x + 6 = 0

a=5, b=-9, c=6

300

What are the values of a, b, and c to plug into the quadratic formula?

3x² - 2x = 7

a = 3, b = -2, c = -7

400

What are the values of a, b, and c to plug into the quadratic formula?

x² = -2x + 8

a=1, b=2, c=-8

500

To solve 6x² - 5x + 1 = 0 using the quadratic formula, what would go in the square root sign?

25 - 4*6*1