Simplify Expressions
Factor Polynomials
Polynomial Graphs
Dividing Polynomials
Functions
100

#1

(-4m2n)* 1/6 m-10n-4

128/3m2

100

What factoring method would you use?

a2-b2

Difference of squares

100

#17 What is the parent function?

f(x)= x3+8x2+16x+7

Cubic

f(x)=x3

100

#32 

(x3+x2-71x+9)/(x+9)

x2-8x+1

100

#38 

Given: f(x)=x2+4x-12, g(x)=5x2-2, and h(x)=x+7

Find (f-g)(x)


-4x2+4x-10

200

#3

(6x-7x2+7)-(5x2+2x-2x3-1)

2x3-12x2+4x+8

200

What factoring method was used to get this?

(a+b)(a2-ab+b2)

Sum of cubes

a+ b3

200

#17 What are the end behaviors?

f(x)= x3+8x2+16x+7

as x -> -infinity, f(x) -> - infinity

as x -> +infinity, f(x) -> +infinity

200

#34

(12a3+2a2-6a-30)/(3a-4)

4a2+6a+6-6/(3a-4)

200

#39

Given: f(x)=x2+4x-12, g(x)=5x2-2, and h(x)=x+7

Find (h*g)(x)

5x3+35x2-2x-14

300

#4

(y+4)3-2y(y-1)

y3+10y2+50y+64

300

#7 Factor completely

9x3+21x2

3x2(3x+7)

300

#17 What are the domain and range?

f(x)= x3+8x2+16x+7

Both are all real numbers.

300

#36

Find f(-2) when

f(x)=3x3-28x2+70

-66

300

#40

Given: f(x)=x2+4x-12, g(x)=5x2-2, and h(x)=x+7

Find (h/f)(x) indicate any domain restrictions.

x+7

-----------

(x+6)(x-2)

{xI x is not= -6, 2}

400

#5

(3k-6)(k2-k+7)

3k3-9k2+27k-42

400

#8 Factor completely

3n4-147

3(n2+7)(n2-7)

400

#21 Identify the zeros

f(x)=3x3(x-1)2(x-8)

x={0,1,8}

400

#41 

Given: f(x)=x2+4x-12, g(x)=5x2-2, and h(x)=x+7

Find (g o h)(x)

5x2+70x+243

500

#6

-8c6d4+56c4d2-24c2d

--------------------------

8c2d

-c4d3+7c2d-3

500

#12 Factor completely

216pq-p7q

pq(6-p2)(36+6p2+p4)

500

#23 The graph of a polynomial function has zeros of 0, 1, and 5/2. Write a function in factored form.

f(x)=x(x-1)(2x-5)

500

#42  

Given: f(x)=x2+4x-12, g(x)=5x2-2, and h(x)=x+7

Evaluate (g+h)(-4)

81

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