Simplifying
Factoring
Solving Quadratic Equations
Vertex & Graphs
100

Subtract the polynomials.

(-8r^2+7r+6)-(6r^2+11r-4)

-14r^2-4r+10

100

Factor:  

w^2+12w+27

(w+3)(w+9)

100

Solve: 

x^2-4x=0

x=0, x=4

100

Does the function have a minimum or maximum?  Give the value.

Maximum value of -4

200

Multipy: 

(5x+6)(x+4)

5x^2+26x+24

200

Factor: 

v^2+3v-40

(v-5)(v+8)

200

Solve: 

x^2+5x=3

x=(-5pm sqrt37)/2

200

Find the coordinates of the vertex:

f(x)=-x^2-6x-8

(-3, 1)

300

Multiply:  

(3x-2)^2

9x^2-12x+4

300

Factor: 

2a^2-7a+5

(2a-5)(a-1)

300

Solve: 

3x^2+5=5x

(5 pm i sqrt35)/6

300

Find the intervals of increase and decrease:

Increasing on 

(- infty, -5)

Decreasing on 

(-5, infty)