Elimination
Adding Polynomials
Subtracting Polynomials
Multiplying Polynomials
Dividing Polynomials
Polynomial Graphs
Composition of Functions
Graphing Quadratics
Simplifying Radicals
Quadratic Formula
100

Use ELIMINATION to solve each system of equations.

-3x + 2y = 23

-5x - 2y = 17

(-5, 4)

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

100

Multiply the Polynomials:

3x2 (2x4)

6x6

100

Use synthetic division to find the result when 3x3+13x2+19x+9 is divided by x+1.

3x2+10x+9

100

What is the degree and leading coefficient?

f(x)=-5x^5+3x^3-3x+1

D:5

LC:-5

100

h(x) = 5x

g(x) = 2x + 6


Evaluate g(h(x)).

10x+6

100

What are the solutions to this quadratic graph?

x= -3 and 1

100

Simplify √45

3sqrt5

100

Solve the following quadratic equation by using the quadratic formula:

x2 + 6x + 5 = 0

x = -1, x = -5

200

Solve the systems of equations using Elimination:

14x + 2y = 26

-14x - 6y = -50

(1,6)

200

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

200

Multiply the Polynomials:

(x - 3)(x + 2)

x2 - x - 6

200

Use synthetic division to find the result when 3x3+4x2-5x-2 is divided by x+2.

3x2 - 2x -1

200

Even or odd?


Even

200

h(x) = 3x

f(x) = x + 5


Evaluate h(f(x))

3x+15

200

What are the solutions to this quadratic graph?

x= 3 

200

Simplify √75

5sqrt3

200

Solve the following quadratic equation by using the quadratic formula: 

2x2 + 9x + 4 = 0

x= -4 and - 1/2

300

Use ELIMINATION to solve each system of equations.

-4x + 7y =-13

4x - 7y =3

no solution

300

Add the polynomials:

(x2 +3x + 5) + ( -x2 +6x)

9x + 5

300

Subtract the polynomials:

(-x2 - 5) - (-3x2 -x -8)

2x2 + x +3

300

Multiply the Polynomials:

(2m - 1)(m + 2)

2m2 + 3m - 2

300

Use synthetic division to find the result when n3-5n2-8n-42 is divided by n-7

n2+2n+6

300

Positive or Negative?

Positive

300

g(x) = 7x

f(x) = 3x + 3


Evaluate f(g(2))

45

300

What are the solutions to this quadratic graph?

no solution

300

Simplify √384

8sqrt6

300

If the solution to the quadratic equation using the quadratic formula gives us an answer of x= 2 and x= -3, what does this mean on a graph?

This means our parabola crosses the x-axis at 2 and -3 

400

Use ELIMINATION to solve each system of equations.

8x+ 12y = 20

-8x - 12y = -20

all solutions 

400

Add the polynomials:

(t2 + 3t3 -3) + (2t2 +7t -2t3)

t3 +3t2 +7t -3

400

Subtract the Polynomials:

(k2 + 6k3 -4) - (5k3 + 7k -3k2)

k3 + 4k2 -7k -4

400

Multiply the Polynomials:

(4n - 1)(3n + 4)

12n2 + 13n - 4

400

Use synthetic division to find the result when x3-4x2+3  is divided by x-1

x2-3x-3

400

Describe End Behavior

As x  -∞, f(x)  ?

As x  ∞, f(x)  ?


As x  -∞, f(x)  -∞

As x  ∞, f(x)  -∞

400

d(x) = 4x+2

h(x) = x2 + 13


Evaluate (h ○ d)(2)

113

400

Find the solutions to the following quadratic equation by graphing. Must show graph and solutions for points.


x2+6x+9=0

x= -3

400

Simplify 

sqrt(-243)

9isqrt3

400

Solve using the quadratic formula 

2x2 + 3x - 1 = 0

(-3+-sqrt17)/4

500

Use ELIMINATION to solve each system of equations.

x + y = 4

2x - 5y = 15

(5,-1)

500

Add the polynomials:

(-1 + x2 + 2x) + (1 -2x + 2x2)

3x2

500

Subtract the Polynomials:

(2x - 3x) - (x2 -2x + 4)

-x2 + x - 4

500

Multiply the Polynomials:

(d + 3)(d2 - 4d + 1)

d3 - d2 -11d + 3

500

Use synthetic division to find the result when 8p3+2p2-10 is divided by p-1

8p2+10p+10

500

How many total zeros, total real zeros, and complex zeros are there? 

5 total

5 real 

0 complex

500

g(x) = x+2

f(x) = x2 + 2


Evaluate (f ○ g)(x)


x2+4x+6

500

Solve the following quadratic equation by graphing. Must show the graph and the solutions for points.


x2-8x=-12

x=2 and 6

500

Simplify 

sqrt(-242)

11isqrt2

500

Solve using the quadratic formula:

5x2 – 4x + 6 = 10

(2+-2sqrt6)/5

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