Math 2 Period 4(Amiya, Elias, Aj)

Characteristics of Quadratics

100

What is the general form of a quadratic function?

f(x)=ax+bx+c

200

What is the factored form of a quadratic function?

f(x)=a(x-r₁) (x-r₂)

300

What does 'a' tell us?

'a' tells us if the parabola opens up or down.

400

What does the vertex form tell us?

The vertex form tells us the transformation of the quadratic function.

500

What is the 'Zero Product Property'?

The zero product property states that if the product of two or more factors is equal to zero then at least the factor must equal zero.

Add & Subtracting Polynomials

100

(a³ - 2a²) - (3a² - 4a³)

5a³ - 5a²

200

(3x⁴ - 3x) - (3x - 3x⁴)

6x⁴ - 6x

300

(4k⁴ - 14 - 3k²) + (3k⁴ +14k² + 8) 

7k⁴ + 11k² - 6

400

(-7n² + 8n - 4) - (-10n +7 - 2n²)

-5n² + 18n - 11

500

(y³ - 7x⁴y⁴) + ( -10x⁴y³ + 6y³ + 4x⁴y⁴) - (x⁴y³ - 6x⁴y⁴)

7x³ + 3x⁴y⁴ - 11x⁴y³

Multiplying Polynomials

100

6v(2v + 3)

12v² + 18v

200

-4(v + 1)

-4v-4

300

(2n + 2)(6n + 1)

12n² + 14n + 2

400

(7n² + 7n - 6)( 7n² - 7n + 6)

49n⁴ - 49n² + 84n - 36

500

(4n² +5n² - 6n + 10)(5n² - 8n - 10)

45n⁴ - 102n³ + 8n² - 20n - 100

Quadratic Formula & Discriminant

100

−2x² − x − 1 = 0

No solution or Imaginary solution (if yk yk)

200

9m² + 6m + 6 = 5

-1/3

300

−4r² − 4r = 6

No solution or Imaginary solution (...)

400

−7n² + 16n = 8n

0 , 8/7

500

−2x² − 8x − 14 = −6

-2

Factoring & Completing the Square

100

complete le square for free robux: (2x+5)(3x-4)

6x²+7x-20

200

complete el cuadro: (3x-9)(x-9)

3x²-36x+81

300

do le factoring: -3x³ - x

x(-3x² - 1)

400

doe la factoring of 3x² + 25x + 42

(3x+7)(x+6)

500

la facturro of 6x² - 12x - 90

6(x+3)(x-5)

(epic fun aj notes: coffee is just bean soup)