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Algebra 2.2 Mid Unit Assessment Review

Total questions: 7

Worksheet time: 14mins

Name
Class
Date
1.

Which expression is equivalent to

 3(x+4)(x−2)(x−4)3(x+4)(x-2)(x-4)  

a)

 3x3−6x2+48x−963x^3-6x^2+48x-96  

b)

 3x3−x2+48x−963x^3-x^2+48x-96  

c)

 3x3+6x2−48x−963x^3+6x^2-48x-96  

d)

 3x3−6x2−48x+963x^3-6x^2-48x+96  

2.

The following expression represents the polynomial p, which is a function of x. 

 −x(x−7)(x+9)(x−25)-x\left(x-7\right)\left(x+9\right)\left(x-\frac{2}{5}\right)  

What set of numbers contain all of the zeros of the function?

a)

 0,−7, 9, −250,-7,\ 9,\ -\frac{2}{5}  

b)

 0,7, −9, 250,7,\ -9,\ \frac{2}{5}  

c)

 0,−7, −9, −250,-7,\ -9,\ -\frac{2}{5}  

d)

 7, −9, 257,\ -9,\ \frac{2}{5}  

3.

For the pair of polynomials given, select all of the intersection points of their graphs. 


 f(x)=(x+4)(x−2)f\left(x\right)=\left(x+4\right)\left(x-2\right)  
 g(x)=x−8g\left(x\right)=x-8  

a)

 (8, 0)\left(8,\ 0\right)  

b)

 (−4,0)\left(-4,0\right)  

c)

 (0,2)\left(0,2\right)  

d)

 (0,−8)\left(0,-8\right)  

e)

 (−1,−9)\left(-1,-9\right)  

4.

What are the approximate intersection points of the two graphed functions?

a)

(0.6, 50)\left(0.6,\ 50\right)

b)

(4, 0)\left(4,\ 0\right)

c)

(1.9, 50)\left(1.9,\ 50\right)

d)

(4.8, 50)\left(4.8,\ 50\right)

e)

(5, 70)\left(5,\ 70\right)

5.

Use synthetic division to divide the polynomial:

 P(x)=x4−8x3+16x2+x−12P\left(x\right)=x^4-8x^3+16x^2+x-12  by  (x−3)\left(x-3\right)  

a)

 x3−5x2+x+4x^3-5x^2+x+4  

b)

 x3+5x2+2x+1x^3+5x^2+2x+1  

c)

 x3−3x2+x+6x^3-3x^2+x+6  

d)

 x3−5x2−x−4x^3-5x^2-x-4  

6.

 x3+4x2+x−6x^3+4x^2+x-6  

Which of the following are the terms of the complete factorization of the polynomial:

a)

 (x−3)\left(x-3\right)  

b)

 (x+2)\left(x+2\right)  

c)

 (x−1)\left(x-1\right)  

d)

 (x+3)\left(x+3\right)  

e)

 (x+1)\left(x+1\right)  

7.

Select all of the zeros of the function:  f(x) = −3(x+4)(2x+3)(x−1)2f\left(x\right)\ =\ -3\left(x+4\right)\left(2x+3\right)\left(x-1\right)^2  

a)

-4

b)

-1

c)

1

d)

-3/2

e)

-3