Math Period 6

Characteristics of Quadratics

100

What is the general form of a quadratic function?

f(x) = ax² +bx +c

200

What is the factored form of a quadratic form?

f(x) = a(x - r₁)(x - r₂)

300

What does the r value?

x intercept 

400

What is the vertex form of quadratic function?

f(x) = a(x - h)² + k

500

What do you get from the vertex form? 

Transformation of the quadratic function

Add & Subtract Polynomials

100

How do you add Polynomials?

Add like terms that have the same base and exponents.

200

Solve (3x² + 2x + 5) + (6x + 7)?

3x² -4x +12

300

How do you subtract polynomials?

Reverse signs of second polynomials then combine

400

Solve: (x + 6) - (3x - 5)?

2x + 11

500

Solve (5x² - 24x +2) - (-10x² + 5x +6)?

15x² - 29x -4

Multiplying Polynomials

100

How do you multiply polynomials? 

Multiply each term and combine

200

Solve (x + 6)(x + 12)?

x² + 18x +72

300

Solve (n + 3)²?

n² + 6n +9

400

Solve (3x - 7)(3x + 7)?

9x - 49

500

Solve (-6x - 7y²)²?

36x² + 84xy² + 49y⁴

Quadratic Formula & Discriminant

100

How do you find the discriminate?

b^2 - 4ac

200

How many solutions(s) are there if b² - 4ac = 0?

one solution

300

What is the quadratic formula?

x= -b ± √b² -4ac/2

400

What is the answer to 2x² + 2x - 12= 0 using the quadratic formula?

x= 2 & -3

500

What is the discriminant for 3x² +4x - 8 = 0?

112

Factoring & Completing the Square

100

What is factoring?

The process of taking quadratics in general form and converting it to factored form.

200

Factor 6x² + 7x -49?

(3x - 7)(2x + 7)

300

What is completing the square?

The process of rewriting a quadratic expression in standard form to vertex form.

400

Solve x² + 4x + 1 = 0?

X= -2 ± √3

500

Solve a² -11/12a + c?

121/576