Factoring
Dividing Polynomials
Equations of Polynomials
Graphing Form Equations
Exponential Equations
Solve Equations
Graphing Standard form Equations
100

Factor: 3x2 +11x +6 

What is (3x+2)(x+3)

100

Divide: 

(5x^3+12x^2-14x-15)/(x+3)

What is 5x2-3x-5

100

A  polynomial that bounces at (4,0) and crosses at (2,0) and has an x-intercept of (0,-32)

What is: y = (x-4)2(x-2)

100

Rewrite into graphing form. Then determine the center & Radius: 

x2+y2-6x-6y-63=0

What is: (x-3)2+(y-3)2= 81

C: (3,3)

R: 9 

100
  1. Dr. Rivera recorded 140 elk present in a population. Assuming the population of elk grows at a rate of 5% per year, write an exponential equation that would model this situation. 

What is: y = 140(1.05)x

100

|-8x-4|+5=25

x= -3 and x = 2

200

Factor: 2x2-5x-3

What is: (2x+1)(x-3)

200

Divide: 

(7x^3+29x^2+16x-24)/(x+3)

What is: 7x2+8x-8

200

Write a polynomial equation: 

A polynomial with an x intercept that crosses at (-3,0), bounces at (2,0) and has a y intercept of (0,24)

What is: Y = 2(x+3)(x-2)2

200

Rewrite into graphing form then determine the center & Radius

x2+y2+18x-20y+145=0

What is: (x+9)2-(y-10)2= 36

C: (-9,10)

R: 6

200

In a census, Wallford Village had a population of 360. Assuming the population decays at a rate of 2% per year, write an exponential equation that would model this situation.

What is: y = 360(0.98)x

200

Solve, leave in exact for (log form)

7^(x+2)=11

What is: 

(log11)/(log7) -2 

300

Factor: 5x2+7x-6

What is: (5x-3)(x+2)

300

Divide: 

(6x^3+9x^2-8x-2)/(x+2)

What is: 

6x^2-3x-2+2/(x+2)

300

Write a polynomial equation, assume the y-intercept is (0,-5) 

What is: 

300

Rewrite into graphing form, then determine the center & radius

x2+y2-16x-24y+127 = 0 

What is: (x-8)2+(y-12)2= 81

C: (8,12)

R: 9

300

An exponential function that passes through the points (1,7) and (2,19)

What is: 

y = (49/19)(19/7)^x

300

Solve, leave in exact form. 

e^(-6x)=964

What is 

x= ln964/-6

300

Completely Factor and Graph: y = x3+2x2-4x-8; Given a root at x= 2

What is: 

400

Factor: 8x2-14x+5

What is: (2x-1)(4x-5)

400

Divide: 

(5x^3+6x^2-6x-13)/(x+1)

What is: 

5x^2+x-7-6/(x+1)

400

Write a polynomial equation for the graph below. Assume that it also passes through the point (9,1.25)

What is: 

y = 0.05(x-4)^2(x-8)^3

400

Rewrite into graphing form, then determine the vertex.

y = 2x2+4x+5 

What is: y= 2(x+1)2+3

V: (-1,3)

400
  1. An exponential function that passes through the points (2,21) and (4,81) and has an asymptote of y = 1

What is: y = 5(2)x+1

400

Solve: leave in exact form. 

-337(2)^(2x)=-7

What is: 

x = log(7/337)/log2/2

400

Completely Factor & Graph: x4+3x3-20x2-48x+64; Given roots at x = -4 and x = -1

500

Factor: 4x3+12x2+9x

What is: x(2x+3)2

500

Divide: 

(4x^3+2x^2-6x-8)/(2x+4)

What is: 

2x^2-3x+3-20/(2x+4)

500

Rewrite into graphing form, then determine the vertex

y = -3x2-18x-32

What is: y = -3(x+3)2-5

V: (-3, -5)

500

An exponential function that passes through the points (-1,1) and (3, -159) and has an asymptote of y = 3

What is: y = (-6)(3)x+3

500

Solve. 

square root 2 (2x+6) = 2x+4

What is x = -1 

x = -5/2; Extraneous Solution. 

500

Completely Factor & Graph: y = x5+3x4-6x3-28x2-24x; Given a triple root at x= -2