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Worksheets

Algebra 2 Review

Total questions: 17

Worksheet time: 2hrs 59mins

Name
Class
Date
1.
Factor
n2-13n+40
a)
(n-5)(n-8)
b)
(n+5)(n-8)
c)
(n-5)(n+8)
d)
(n+6)(n+1)
2.
Factor
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
3.
Factor: 8x3 - 1
a)
(2x - 1)(4x2 + 2x + 1)
b)
(2x + 1)(4x2 - 2x + 1)
c)
(2x - 1)(4x2 - 2x - 1)
d)
(2x + 1)(4x2 +2x + 1)
4.
Factor:  27x3 + 8
a)
(3x + 2)(9x2 - 6x + 4)
b)
(9x + 2)(3x2 + 18x + 4)
c)
(3x2+4)(9x + 2)
d)
(27x + 8)(x2 - 216x + 64)
5.
20x3-25x2+4x-5
a)
(5x2-5)(4x+1)
b)
5(x2-1)(4x+5)
c)
(5x2+1)(4x-5)
d)
(5x2+1)(4x-1)
6.

Factor

2x4 - 13x2 - 70

a)

(2x+7)(x-10)

b)

(7x+5)(x+2)

c)

(2x2+7)(x2-10)

d)

2(x2+7)(x2+10)

7.

Factor

k4+7x2+10

a)

(k2+2)(k2+5)

b)

(k2-2)(k2-5)

c)

(k+10)(k+4)

d)

(k+2)(k+5)

8.
For synthetic division, what would be the number in the left hand box?
a)
0
b)
1
c)
2
d)
3
9.
If you were dividing x6 + 4x3 + 2, how many 0's would you need when setting up the top row of your synthetic division?
a)
0
b)
2
c)
4
d)
6
10.

Cam divided (x4 + 3x2 - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

a)

Cam wrote the remainder incorrectly.

b)

Cam did not use a zero place holder for the x3 term.

c)

Cam added instead of subtracting the rows.

d)

Cam should have used -2 as his division since the factor was x-2.

11.
(2x3 + 5x2 + 9) ÷ (x + 3)
a)
2x2 - x + 3
b)
2x3 - x2 + 3x
c)
2x2 + 11x + 33 + 108/x+3
d)
2x2 - 5x + 12
12.

Was this problem done correctly?

a)

Yes

b)

No

13.

What is the next step in synthetic division?

a)

Add the 9 and 6

b)

Multiply the 9 and 6

c)

Bring down the -48

14.
Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = x3 + 2x2 - 6x + 8
a)
±1, ±8
b)
±1, ±2, ±4, ±8
c)
±1, ±2, ±4
d)
1, 2, 4, 8
15.
Solve by using Rational Root Theorem: 
2x3 - 11x2 + 12x + 9 = 0
a)
-1, 1, 3
b)
-1, 3/2, 3 
c)
-1/2, 3, 3
d)
-1/2, 1, 3
16.

How many possible negatives solutions does the following polynomial have?

f(x) = x4 - 3x3 - 17x2 + 39x -20

a)

3 or 1

b)

3

c)

1

d)

2 or 0

17.

Use Descartes Rule of Signs to determine the possible number of positive and negative roots.

a)

1 positive, 2 or 0 negative

b)

1 positive, 1 negative

c)

0 positive, 1 negative

d)

1 positive, 0 negative