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Review of Polynomials

Total questions: 92

Worksheet time: 3hrs 9mins

Name
Class
Date
1.

(2x2+4x+10)-(x2-3x+12)

a)

x2+x+22

b)

x2+7x-2

c)

x2+7x+22

d)

x2+x-2

2.

(x2+5)(2x-3)

a)

2x3-3x2+10x-15

b)

2x3+10x2-3x-15

c)

2x2+7x-15

d)

2x2-7x+15

3.

(3x+1)2

a)

9x2+1

b)

3x2+1

c)

9x2+3x+1

d)

9x2+6x+1

4.

What is the GCF of 21x4-7x2+35x

a)

7x2

b)

x

c)

7x

d)

x2

5.

Factor: x2-26x+169

a)

(x+13)2

b)

(x-13)2

c)

(x+13)(x-13)

d)

(-x-13)2

6.

Factor: 9x2-64

a)

(3x-8)2

b)

(9x+8)(x-8)

c)

(3x-8)(x+8)

d)

(3x-8)(3x+8)

7.

Factor: x2+9x-10

a)

(x-5)(x+2)

b)

(x+5)(x-2)

c)

(x+10)(x-1)

d)

(x-10)(x+1)

8.

Factor the polynomial. Select all that apply: 4x2+4x-15

a)

(4x+5)

b)

(2x-3)

c)

(2x+3)

d)

(2x+5)

e)

(2x-5)

9.

Name the polynomial by its number of terms x2-2x+5?

a)

constant

b)

momomial

c)

binomial

d)

trinomial

10.
What is the constant in the polynomial
x2-2x+5?
a)
1
b)
2
c)
5
d)
0
11.

Name the polynomial by its degree   9x5 - x4 + 2x

a)

cubic

b)

quintic

c)

quartic

d)

quadratic

12.

Name the polynomial by its number of terms

2x3-8x2+3x-7

a)

binomial

b)

monomial

c)

polynomial with 4 terms

d)

trinomial

13.

What is the leading term of this polynomial?

4x3+8x5-4x2+x

a)

1x

b)

8x5

c)

4x3

d)

-4x2

14.

What is the leading coefficient of the following?

2x3-8x5+3x-7

a)

2

b)

-8

c)

3

d)

-7

15.

Add the following Terms:

3x2+6x3-x2+2x3

a)

10x7

b)

9x2+1x3

c)

8x3+2x2

16.
Which polynomial is written in standard form?
a)
-3x + 8x2 + 9x3 - 11
b)
9x3 + 8x2 - 3x - 11
c)
8x2 + 9x3 -11 - 3x
d)
-11 - 3x + 8x2 + 9x3
17.
Classify by degree of polynomial:
3x3 – 6x
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
18.

What is the GCF in 3x3 + 15x2 + 30x

a)

3

b)

3x

c)

5

d)

x

19.

What are the zeros in (x-5)(x+4)

a)

4 and -5

b)

5 and -4

c)

-4 and -5

d)

no zeros

20.

Write x3 + 9x2 + 18x in factored form

a)

x(x + 6)(x + 3)

b)

x(x + 9)(x + 2)

c)

x(x + 6)

d)

x(x - 6)(x - 3)

21.
How many zeros does the polynomial function
 P(x) = 3x4+4x-8 have?
a)
1
b)
2
c)
3
d)
4
22.
Factor:
x2 - 5x
a)
1(x - 5)
b)
x(x - 5x)
c)
x(x - 5)
d)
x2(1 - 5)
23.
What are the
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?
a)
-4, -1, 3
b)
3, -3, 4, 1
c)
4, 1, -3
d)
3, -4, -1, 3
24.
Which of the following could be a zero of
f(x)=x4-10x3+35x2-50x+24
a)
x = -1
b)
x = 5
c)
x = -2
d)
x = 2
25.
a)
None
b)
1
c)
2
d)
4
26.
Classify by number of terms:
3x2 – 8x + 1
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
27.
Classify by number of terms:
2x – 9
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
28.
Classify by degree of polynomial:
3x2 – 8x + 1
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
29.
Classify by degree of polynomial:
3x3 – 6x
a)
Constant
b)
Linear
c)
Quadratic
d)
Cubic
30.
Add or Subtract to Simplify:
(4x2+ x) - (x2+ 2x)
a)
3x2 - x
b)
4x2 + 2x
c)
3x2 + 3x
d)
3x2 + 2x
31.
Add or Subtract to Simplify:
 (x + 2x2) + (4x2 + 7x)
a)
6x2 + 8x
b)
8x2 + 6x
c)
2x2 + 6x
d)
2x2 + 8x
32.
Simplify the expression.
(4a3 - 8a - 4a2) + (7a3 - 7 - 6a)
a)
11a3 - 4a2 - 14a - 7 
b)
5a3 - 4a2 - 14a - 7 
c)
5a3 - 4a2 - 20a - 7 
d)
5a3 - 9a2 - 20a - 7
33.
Add or Subtract to Simplify:
(5x + x2 - 4) - (4x - x2 + 6)
a)
2x2 + x + 2 
b)
x + 2
c)
2x2 + x - 10 
d)
x - 10 
34.
Simplify:
2x (-2x - 3)
a)
-4x - 3
b)
x2 - 3
c)
-4x2 - 6x
d)
-4x - 6
35.
Multiply.
(x + 2)(x + 3)
a)
x2 + 5x + 6
b)
x2 + x + 6
c)
x2 + 5x + 5
d)
x2 + 6x + 6
36.
Multiply.
(x - 3)(x +10)
a)
x2 - 7x + 13
b)
x2 - 6x - 30
c)
x2 + 7x - 30
d)
x2 + 13x + 30
37.

Multiply.

(x + 7)2


Hint: (x + 7)2 = (x + 7)(x + 7)

a)

x2 + 7x + 7x + 49

b)

x2 + 7x + 7

c)

7x2 + x + 7

d)

x2 + 14x + 49

38.
Multiply.
-3x2(7x2 - x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x4 + 3x3 + 12x2
d)
-12x2 + 3x3 -21x4
39.
Multiply.
(5x + 2)(x2 - 3x + 6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
40.

Simplify

(p − 8)2


Hint: (p − 8)2 = (p − 8)(p − 8)

a)

p 2 − 16p − 64

b)

p 2 + 16p + 64

c)

p 2 − 16p − 8

d)

p 2 − 16p + 64

41.

Simplify:

(x - 7)(x + 7)

a)

x2 + 7x - 49

b)

x2 - 7x + 49

c)

x2 - 49

d)

x2 + 49

42.

7ab+6b2 −2a37ab+6b^2\ -2a^3  

Identify as a monomial, binomial, or trinomial, or neither.

a)

Trinomial

b)

Binomial

c)

Monomial

d)

Neither

43.

2b3+7ab+32b^3+7ab+3  

Name the polynomial by its degree.

a)

constant

b)

quadratic

c)

cubic

d)

linear

44.

2x−52x-5  

Identify as a monomial, binomial, trinomial, or neither.

a)

Neither

b)

Monomial

c)

Binomial

d)

Trinomial

45.

5a−3b25a^{-3}b^2  

Identify as a monomial, binomial, trinomial, none of the above.

a)

Monomial

b)

Binomial

c)

Trinomial

d)

None of these

46.

7x3−8z−37x^3-8z-3  

True or false. The above trinomial is in standard form?

a)

True

b)

False

47.

 2c2+6c+4+5c2−72c^2+6c+4+5c^2-7  

Find the sum or the difference 



(a)  

48.

Find the perimeter of above figure.

4 lines
49.

Find the area of above figure.

4 lines
50.

Find the area of above figure.

4 lines
51.

Find the perimeter of above figure.

4 lines
52.

−4y12 ⋅−9x3⋅2x-4y^{12\ }\cdot-9x^3\cdot2x   Simplify

53.
Factor
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
54.
Factor: x2 + 2x – 3
a)
(x - 2)(x + 1)
b)
(x + 1)(x - 3)
c)
(x + 2)(x - 1)
d)
(x - 1)(x + 3)
55.

Factor:

5x3 - 7x2

a)

x2(5x - 7)

b)

x(5x2 - 7x)

c)

x3(5 - 7x)

d)

Prime

56.

Factor: 25x2 - 9

a)

(5x + 3)(5x - 3)

b)

(x + 5)(x - 3)

c)

(x - 3)(x + 5)

d)

(5x + 3)(3x + 5)

57.
Factor:
x2 + 5x - 24
a)
(x - 8)(x + 3)
b)
(x + 8)(x - 3)
c)
(x + 6)(x - 4)
d)
(x + 12)(x - 2)
58.
Factor:
x2 - 10x + 24
a)
(x - 6)(x - 4)
b)
(x + 6)(x + 4)
c)
(x - 12)(x + 2)
d)
(x - 8)(x - 3)
59.
What are the factors of x2+3x-40
a)
(x+10)(x-4)
b)
(x+8)(x-5)
c)
(x+20)(x-2)
d)
(x+1)(x-3)
60.
Factor:
24c5 - 12c3
a)
6(4c5 - 2c3)
b)
12c3(2c2)
c)
12c3(2c2 - 1)
d)
12c3(2c2 - 0)
61.
Factor d2 - 10d + 25
a)
(d + 5) (d - 5)
b)
(d - 15) (d + 10)
c)
(d + 5) (d - 20)
d)
(d - 5) (d - 5)
62.
Factor:  6x2 + 9x
a)
(6x + 1)(x + 3)
b)
(3x + 1)(2x + 3)
c)
3x(2x + 3)
d)
6x(x + 3)
63.
   Factor:
6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
64.
Factor:
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
65.

Find the GCF of 15n3+25n2

a)

5

b)

15n

c)

5n2

d)

5n

66.
Factor:
5x3-7x2
a)
x2(5x-7)
b)
x(5x2-7x)
c)
x3(5-7x)
d)
Prime
67.
Factor: 49x2 - 100
a)
(49x + 100)(x - 1)
b)
(7x - 10)(7x + 10)
c)
(49x - 10)(x + 10)
d)
(7x -10)(7x - 10)
68.

x2+4x-32=0

a)

x= -8, 4

b)

x= 8, -4

c)

x= -8, -4

69.
a)
A
b)
B
c)
C
d)
D
70.
What are the factors of x2-8x-48
a)
(x-12)(x+4)
b)
(x+12)(x-4)
c)
(x+12)(x+4)
d)
(x-12)(x-4)
71.
Find the factors of x2-81
a)
(x-9)(x+9)
b)
(x+9)(x+9)
c)
(x-9)(x-9)
d)
Can't be factored
72.

Factor:

5x2 + 20

a)

5(x + 4)

b)

5x(x + 4)

c)

5(x2 + 4)

d)

5x2(x + 4)

73.

Factor:

x2 + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 12)(x + 2)

c)

(x - 8)(x - 3)

d)

(x + 8)(x + 3)

74.
Factor:
x2 - 10x + 24
a)
(x - 6)(x - 4)
b)
(x + 6)(x + 4)
c)
(x - 12)(x + 2)
d)
(x - 8)(x - 3)
75.
Factor:
x2 - 10x - 24
a)
(x + 12)(x - 2)
b)
(x - 6)(x - 4)
c)
(x - 12)(x + 2)
d)
(x +6)(x - 4)
76.
What are the factors of 3x2-17x+10
a)
(x-5)(3x-2)
b)
(x+5)(3x+2)
c)
(3x-5)(x-2)
d)
(x+5)(3x-2)
77.
What are the factors of x2+3x-40
a)
(x+10)(x-4)
b)
(x+8)(x-5)
c)
(x+20)(x-2)
d)
(x+1)(x-3)
78.
What are the factors of x2-8x-48
a)
(x-12)(x+4)
b)
(x+12)(x-4)
c)
(x+12)(x+4)
d)
(x-12)(x-4)
79.
Find the factors of x2-81
a)
(x-9)(x+9)
b)
(x+9)(x+9)
c)
(x-9)(x-9)
d)
Can't be factored
80.
Find the factors of 5x2+20x+20
a)
5(x+2)(x+2)
b)
5(x-2)(x-2)
c)
5(x+2)(x-2)
d)
(5x+2)(x+2)
81.
Find the factors of 4x2-16x-9
a)
(2x-9)(2x+1)
b)
(2x+9)(2x-1)
c)
(4x-1)(x+9)
d)
(x+1)(4x-9)
82.
Factor:
 3x2-17x+10
a)
(x-5)(3x-2)
b)
(x+5)(3x+2)
c)
(3x-5)(x-2)
d)
(x+5)(3x-2)
83.
Factor:
 4x2-16x-9
a)
(2x-9)(2x+1)
b)
(2x+9)(2x-1)
c)
(4x-1)(x+9)
d)
(x+1)(4x-9)
84.
Factor
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
85.

Factor and solve x2+4x-32=0

a)

x= -8, 4

b)

x= 8, -4

c)

x= -8, -4

86.

Factor and solve x2-14x-51=0

a)

x= 17, -3

b)

x= -17, 3

c)

x= -17, -3

87.

Factor and solve 3x2+9x-30=0

a)

x= 2, -5

b)

x= 5, -2

c)

x= -5, -2

88.

Factor and solve 6x2-x-2=0

a)

x= -2/3, 1/2

b)

x= 2/3, -1/2

c)

x= -2/3, -1/2

89.
What are the factors AND solutions of x2 + 2x – 3 = 0
a)
(x - 2)(x + 1); x=2, x=-1
b)
(x + 1)(x - 3); x=-1, x=3
c)
(x + 2)(x - 1); x=-2, x=1
d)
(x - 1)(x + 3); x=1, x=-3
90.
Solve by factoring:3x2 + 5x + 2 = 0  
a)
x = -2/3 and x = -1
b)
x = -3/2 and x = -1
c)
x = 2/3 and x = 1
d)
x = 2/3 and x = -1
91.
Solve by factoring:  2x2+ 7x + 6 = 0
a)
x= 3/2 and x = 2
b)
x = -3/2 and x = -2
c)
x = 6 and x = 7
d)
x = -6 and x = -7
92.
Solve by factoring:  4x2 + 11x - 3 = 0
a)
x = -3/4 and x = -1
b)
x = 4 and x = 3
c)
x = 1/4 and x = -3
d)
x = -1/4 and x = 3

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