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Algebra 2 Chapter 5 Polynomials and Polynomial Functions

Total questions: 19

Worksheet time: 43mins

Name
Class
Date
1.

Simplify.


22⋅25

a)

210

b)

27

c)

225

d)

23

2.

Simplify. (32)-3(33)

a)

1/27

b)

1/9

c)

-1/27

d)

-6561

3.

Simplify.


(x-2y5)2

a)

-x4/y10

b)

x-2y10

c)

-x4y10

d)

y10/x4

4.

Simplify. (3x4y-2)-3

a)

-9x12y-6

b)

y5/27x12

c)

y6/27x12

d)

3x4y6

5.

Simplify.


(3/4)-2

a)

16/9

b)

-9/16

c)

-16/9

d)

6/8

6.

Simplify.


(8 x 107)/(2 x 103)

a)

4 x 1021

b)

40 x 103

c)

40 x 105

d)

4 x 104

7.

Simplify.


(x2/y-2)-4

a)

x8y8

b)

x8/y8

c)

1/(x8y8)

d)

y8/x8

8.

Simplify.


(2x-6y5)/(16x3y-2)

a)

27/16x9

b)

x-3y7/4

c)

8x9/y7

d)

y7/8x9

9.

Simplify. (5x3-x+3)+(x3-9x2+4x)

a)

6x3+3x+3

b)

6x3-9x2+3x+3

c)

-3x3+3x+3

d)

6x3-9x2+3

10.

Simplify.


(x3+4x2-5x)-(4x3+x2-7)

a)

5x3+5x2-5x-7

b)

3x3-3x2+5x-7

c)

-3x3+5x2-5x-7

d)

-3x3+3x2-5x+7

11.

Multiply.


(x-6)(5x2+x-8)

a)

5x3+x2-8x

b)

-30x2-6x+48

c)

5x3-29x2-14x+48

d)

5x3+31x2-14x+48

12.

Multiply.


(x-4)(x+7)(5x-1)

a)

5x3+14x2-143x+28

b)

(x2+3x-28)(5x-1)

c)

(x-4)(5x2+34x-7)

d)

19x3-143x+28

13.

Factor completely.


64x3-8

a)

8(8x3-1)

b)

8(2x-1)(4x2+2x+1)

c)

8(2x+1)(4x2-2x+1)

d)

8(2x+1)(4x2+2x+1)

14.

Factor completely.


2x5-12x3+10x

a)

2x(x-1)(x+1)(x2-5)

b)

(2x3-5)(x2-2)

c)

x(2x-1)(x+1)(x2-5)

d)

2x(x+1)2(x-5)

15.

Factor completely.


2x3-7x2-8x+28

a)

(x+2)2(2x-7)

b)

(2x-7)(x-2)2

c)

(2x-7)(x2-4)

d)

(x-2)(x+2)(2x-7)

16.

Divide.


(x3-3x2-x-10)/(x2+3x-1)

a)

x-6 + ((18x+6)/(x2+3x-1))

b)

x + ((2x-10)/(x2+3x-1))

c)

x + (-10/(x2+3x-1))

d)

x+6 + ((18x-16)/(x2+3x-1))

17.

Factor the polynomial completely.


f(x)=x3-5x2-2x+24 given (x+2) is a factor

a)

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

b)

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

c)

(x-2)(x-3)(x-4)

d)

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

18.

Factor the polynomial f(x)=9x3-9x2-4x+4 given (x-1) is a factor.

a)

(x+1)(3x-2)2

b)

(x-1)(3x-2)(3x+2)

c)

(x-1)(3x-2)2

d)

(x+1)(3x-2)(3x+2)

19.

Find all the real zeros of the function f(x)=x3-4x2-11x+30

a)

3, 2, 5

b)

-3, -2, -5

c)

-3, 2, 5

d)

3, -2, -5