Quadratics Review

Add/ Subtract Polynomials

100

(3x² + 5x + 3) + (5x² + 2x + 1)

8x²  + 7x + 4

200

(6x² - 3x - 1) + (x² + 3x + 7)

7x² + 6

300

(4x² + 4x - 5) - (3x² + 2x + 4)

x² + 2x - 9

400

(3x² - 5x + 1) - (5x² - x + 5)

-2x² - 4x - 4

500

(-5x² + 6x - 5) - (-x² - 4x + 7)

-4x² + 10x - 12

Functions Potpourri

100

If f(x) = x² + 3x - 4

find f(5)

f(5) = 36

200

If g(x) = 2x² + 5x + 10

find g(3)

g(3) = 43

300

Factor:   x² - 36

(x + 6) (x - 6)

400

Find the value(s) of x in the linear-quadratic system

y = x² +3x - 15     

y = 4x + 5

x = -4   and   x = 5

500

Find the zeros of of 

f(x) = 12x² + 14x - 40

zero at -5/2 and 4/3

Solve Quadratic Equations

100

x² + 6 = 70

x = +/- 8

200

5x² - 9 = 116

x = +/- 5

300

x² - 3x - 28 = 0

x = -4 

x = 7

400

Solve

2x² + 22x + 60 

x = -5 

x = -6

500

Solve 

4x² + x - 10 = 2x² + 6x + 2

x = - 3/2

x = 4

Graphs of quadratic functions

100

y = 4x² - 2x + 7  Open up or down? y intercept?

Up, 7

200

f(x) = x² - 36  name the x-intercepts

6 and - 6

300

f(x) = x² - 4x - 32   find the vertex

Vertex (2, -36)

400

y = x² +2x - 15  Domain and Range?

Domain (-infinity to positive infinity)

Range [-16, infinity)

500

Sketch a graph of f(x) = x² - 2x - 24

open up   y-int: -24   x-int: -4 and 6  vertex: (1,-25)

Factor quadratic expressions

100

Factor:  x² + 8x + 7

(x+1)(x+7)

200

Factor: 15x² +6x

3x (5x + 2)

300

Factor: 15x² - x - 2

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

400

Factor completely: 12x² - 38x + 20

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

500

Factor completely: -32x² - 20x + 12

-4 (x + 1) (8x - 3)