Math Period 6

Quadratics Vocabulary

100

What is the y-intercept?

The point where the parabola crosses the y-axis.

200

What is the x-intercept?

The point or points where the parabola crosses the x-axis.

300

What is the vertex?

The highest or lowest point on the parabola.

400

What is the axis of symmetry?

An imaginary line that cuts the parabola in half.  This imaginary line goes through the vertex.

500

What is another name for the solution(s) of a parabola? 

X-intercepts or zeroes

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

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