Algebra 2

Unit Test #5

_____ / 49

 

Part 1: Calculator Allowed

 

1.

Add. 4x3 x 2 + 4 x 5 3x+ x 2

(3)

4 x 5 2 x 2 +x

 

2.

Subtract. 7+ x 5 4+6 x 3

(3)

x 5 6 x 3 +3

 

3.

Multiply. 7x+2 2x+3

(4)

14 x 2 +25x+6

 

4.

The roots of a polynomial are 2 (with multiplicity 3) and 1.

What are the factors of this polynomial?

(4)

x2 3 x1

 

Algebra 2

Unit Test #5

 

Part 2: No Calculator Allowed

 

5.

Simplify. 5 3 5 3 5 5 4 2

(5)

1 5 10

 

6.

Simplify. Assume that the variable has a positive value. x 1 x 3 y 2 x 0 y 3 2

(6)

x 4 y 2

 

7.

Identify the degree, leading coefficient, and end behavior of y=5 x 3 +2 x 2 3

(5)

Degree: 3

Leading Coefficient: -5

End Behavior: +,

 

8.

Identify the degree, leading coefficient, and end behavior of y=2 x 4 x 3 +3 x 2 3

(5)

Degree: 4

Leading Coefficient: 2

End Behavior: +,+

 

9.

List the roots (and their multiplicities) of x 3 3 x 2 10x=0

(7)

x 3 3 x 2 10x=0 x x 2 3x10 =0 x x5 x+2 =0, so the roots are x 2,0,5 (all of which have multiplicity 1).

 

10.

Factor. y=4 x 3 12 x 2 x+3

(7)

y= x3 2x1 2x+1

 


Page last updated 12:44 2021-11-11