Factoring Solutions Review

Factoring

100

(x-4)(x+9)=0

x=4 and x=-9

200

(2x-3)(5x+1)=0

x= 3/2

x= -1/5

300

List 2 of the names we can call the answers to a quadratic equation 

Zeros, Roots, Solutions, or X-Intercepts

400

x²+7x+12=0

x=-3

x=-4

500

x²+x=42

x=6

x=-7

Square Root

100

x²=121

x=11

x=-11

200

2x²-722=0

x=19

x=-19

300

3x²-6=42

x=4

x=-4

400

(x-3)²-81=0

x=6

x=-12

500

-4(x-8)²+100=0

x=13

x=3

Quadratic Formula

100

In the quadratic formula, what is under the radical? 

b²-4ac

200

What is the word for everything under the square root symbol? 

Radicand 

300

Which equation cannot be solve using the quadratic formula? 

a. 6x²-x=90

b. 17x+x²-38=0

c. 2x³-5x+3=0

d. -9x²+2x-21=0

c. 2x³-5x+3=0

400

Solve using the quadratic formula: 

3x²-4x+1=0

x=1

x=1/3

500

Solve using the quadratic formula: 

7x²-8=3x

x=(3+sqrt(233))/14

x=(3-sqrt(233))/14

Graphing

100

How many solutions does a graph have if it never crosses the x-axis?

No Real Solutions 

200

How many solutions does a quadratic have if it crosses the y-axis once and the x-axis twice? 

2 Real Solutions 

300

Using your calculators, graph the equation and find the solutions. 

x²+12x=-32

x=-4

x=-8

400

Using your calculators, graph the equation and find the solutions. 

2x²=-9x-4

x=-4

x=-1

500

Using your calculators, graph the equation and find the solutions. 

3x²-6x+4=0

No Real Solutions 

Review

100

What is a parallel slope to the line 

y=3x-8

3

200

Find the slope of the line between these points: 

(0, 4) and (-3, -7) 

11/3

300

(2x-3)(7x+11) 

14x²+x-33

400

(3x⁰y⁵z³)²

9y¹⁰z⁶

500

f(x)=-9x+2 and g(x)=3x²+23x-17

Find f(-2) + g(4)

143