Free Printable A2-CHAPTER 4 TEST 2025-26

1.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

2.

Find the sum.
(5x²-3x + 4) + (6x -3x²- 3)

a)

3x² + 2x + 1

b)

2x² + 3x +1

c)

2x² + 5x - 7

d)

3x²+ 4x⁵ -7x

3.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

4.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

5.

Simplify the expression:
(3x⁴ - 4 - 5x²) - (1 - x² + 2x³)

a)

3x⁴ - 2x³ - 4x² - 5

b)

3x⁴ - 7x³ - 4x² - 5

c)

3x⁴ - 7x³ - 4x² - 4

d)

3x⁴ - 5x³ - 4x² - 4

6.

Simplify the expression:
(p³ - 6p⁴ + 1) - (8p⁴ - 8p³ + 7)

a)

-14p⁴ + 9p³ - 6

b)

-14p⁴ + 9p³ + 6

c)

-14p⁴ + 9p³ - 1

d)

-15p⁴ + 9p³ + 6

7.

Simplify the expression:
(4a + 1 + 4a⁴) - (4a³ + 2a + 3a⁴)

a)

a⁴ - 4a³ + 3a + 7

b)

a⁴ - 7a³ + 3a + 7

c)

a⁴ - 4a³ + 3a + 1

d)

a⁴ - 4a³ + 2a + 1

8.

Simplify each expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

9.

Simplify:

a)

9n³ + 4n

b)

7n³+ 6

c)

-3n³+ 2

d)

7n⁶ + 6

10.

Simplify:

a)

-5a⁶- 5a⁴

b)

-3a³ - 1a²

c)

-2a³ - 6a²

d)

5a³ - 5a²

11.

Simplify:

a)

0

b)

-3n³ +8n

c)

-3n⁶

d)

-6n³

12.

Solve the following problem.
(13x + 30) - (20x + 6)

a)

-7x + 24

b)

-33x - 42

c)

133x + 36

d)

260x + 180

13.

Solve the following problem.
(9x + 17) + (19x - 27)

a)

28x + 44

b)

28x - 10

c)

-28x + 10

d)

-171x - 459

14.

Solve the following problem.
(3x - 4) + (12x + 10)

a)

x - 12

b)

15x + 6

c)

36x + 40

d)

17x + 9,000

15.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

16.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

17.

Simplify the expression:
(p³ - 6p⁴ + 1) - (8p⁴ - 8p³ + 7)

a)

-14p⁴ + 9p³ - 6

b)

-14p⁴ + 9p³ + 6

c)

-14p⁴ + 9p³ - 1

d)

-15p⁴ + 9p³ + 6

18.

Simplify the expression:
(4v³ + 3v - 8v⁴) + (4v - 8v⁴ - 7)

a)

-17v⁴ + 4v³ + 2v - 7

b)

-16v⁴ + 4v³ + 10v - 7

c)

-16v⁴ + 4v³ + 7v - 7

d)

-16v⁴ + 4v³ + 2v - 7

19.

Simplify the expression:
(5b - 3b³ - 8b²) - (2b³ - 4b² + 6b - 3b⁴)

a)

3b⁴ - 5b³ - 11b² - b

b)

3b⁴ - 5b³ - 11b² - 9b

c)

3b⁴ - 5b³ - 11b² - 15b

d)

3b⁴ - 5b³ - 4b² - b

20.

Simplify the expression:
(7k + 2k³ - 8k⁴) - (4k³ - 5k + 4k² - 7k⁴⁾

a)

-k⁴ - 2k³ - 4k² + 12k

b)

-2k³ - 7k² + 12k + 4k⁴

c)

-2k³ - 4k³² + 12k + 4k⁴

d)

-2k³ - 4k² + 12k

21.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

22.

Find the sum.
(5x²-3x + 4) + (6x -3x²- 3)

a)

3x² + 2x + 1

b)

2x² + 3x +1

c)

2x² + 5x - 7

d)

3x²+ 4x⁵ -7x

23.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

24.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

25.

Simplify the expression:
(3x⁴ - 4 - 5x²) - (1 - x² + 2x³)

a)

3x⁴ - 2x³ - 4x² - 5

b)

3x⁴ - 7x³ - 4x² - 5

c)

3x⁴ - 7x³ - 4x² - 4

d)

3x⁴ - 5x³ - 4x² - 4

26.

Simplify the expression:
(p³ - 6p⁴ + 1) - (8p⁴ - 8p³ + 7)

a)

-14p⁴ + 9p³ - 6

b)

-14p⁴ + 9p³ + 6

c)

-14p⁴ + 9p³ - 1

d)

-15p⁴ + 9p³ + 6

27.

Simplify the expression:
(4a + 1 + 4a⁴) - (4a³ + 2a + 3a⁴)

a)

a⁴ - 4a³ + 3a + 7

b)

a⁴ - 7a³ + 3a + 7

c)

a⁴ - 4a³ + 3a + 1

d)

a⁴ - 4a³ + 2a + 1

28.

Simplify each expression.
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

29.

Simplify:

a)

9n³ + 4n

b)

7n³+ 6

c)

-3n³+ 2

d)

7n⁶ + 6

30.

Simplify:

a)

-5a⁶- 5a⁴

b)

-3a³ - 1a²

c)

-2a³ - 6a²

d)

5a³ - 5a²

31.

Simplify:

a)

0

b)

-3n³ +8n

c)

-3n⁶

d)

-6n³

32.

Solve the following problem.
(13x + 30) - (20x + 6)

a)

-7x + 24

b)

-33x - 42

c)

133x + 36

d)

260x + 180

33.

Solve the following problem.
(9x + 17) + (19x - 27)

a)

28x + 44

b)

28x - 10

c)

-28x + 10

d)

-171x - 459

34.

Solve the following problem.
(3x - 4) + (12x + 10)

a)

x - 12

b)

15x + 6

c)

36x + 40

d)

17x + 9,000

35.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

36.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

37.

Simplify the expression:
(p³ - 6p⁴ + 1) - (8p⁴ - 8p³ + 7)

a)

-14p⁴ + 9p³ - 6

b)

-14p⁴ + 9p³ + 6

c)

-14p⁴ + 9p³ - 1

d)

-15p⁴ + 9p³ + 6

38.

Simplify the expression:
(4v³ + 3v - 8v⁴) + (4v - 8v⁴ - 7)

a)

-17v⁴ + 4v³ + 2v - 7

b)

-16v⁴ + 4v³ + 10v - 7

c)

-16v⁴ + 4v³ + 7v - 7

d)

-16v⁴ + 4v³ + 2v - 7

39.

Simplify the expression:
(5b - 3b³ - 8b²) - (2b³ - 4b² + 6b - 3b⁴)

a)

3b⁴ - 5b³ - 11b² - b

b)

3b⁴ - 5b³ - 11b² - 9b

c)

3b⁴ - 5b³ - 11b² - 15b

d)

3b⁴ - 5b³ - 4b² - b

40.

Simplify the expression:
(7k + 2k³ - 8k⁴) - (4k³ - 5k + 4k² - 7k⁴⁾

a)

-k⁴ - 2k³ - 4k² + 12k

b)

-2k³ - 7k² + 12k + 4k⁴

c)

-2k³ - 4k³² + 12k + 4k⁴

d)

-2k³ - 4k² + 12k

41.

(x + 7)(x + 9)

a)

x² + 63x + 16

b)

x² + 16x + 63

c)

x² + 79

d)

x² + 16x + 2

42.

(x - 3)(x +10)

a)

x² - 7x + 13

b)

x² - 6x - 30

c)

x² + 7x - 30

d)

x² + 13x + 30

43.

(x + 5)(x + 4)

a)

x² + x + 20

b)

x² + 20x + 9

c)

x² + 9x + 20

d)

x² - 9x + 54

44.

(x +2)(x + 3)

a)

x² + 5x + 6

b)

x² + x + 6

c)

x² + 5x + 5

d)

x² + 6x + 6

45.

(x - 4)(x - 6)

a)

x² -10x + 24

b)

x² - 10x - 24

c)

x² +10x + 24

d)

x² + 10x - 24

46.

(x - 1)(x - 8)

a)

x² + 9x + 8

b)

x²+ 9x - 8

c)

x² - 9x - 8

d)

x² - 9x + 8

47.

(x + 12)(x - 12)

a)

x² - 144

b)

x² + 144

c)

x² + 12x - 144

d)

x² - 12x + 144

48.

(x - 7)(x + 7)

a)

x² + 7x - 49

b)

x² - 7x + 49

c)

x² - 49

d)

x² + 49

49.

Find the product:
(3x – 1)(x + 5)

a)

3x² + 4x + 5

b)

3x² + 4x - 5

c)

3x² + 14x + 5

d)

3x² + 14x - 5

50.

Simplify:
(x-7)²

a)

x²-49

b)

x²+49

c)

x²-14x+49

d)

x²-14x-49

51.

Find the product:
(3x + 2)(2x + 4)

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

52.

(x + 5)²
Hint: try (x + 5)(x + 5)

a)

x² + 25

b)

x² + 10x + 25

c)

x² + 10 x + 10

d)

x² + 10

53.

Find the product:
(3x + 2)(2x + 4)

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

54.

Find the Product.
(2x + 3)(2x - 3)

a)

4x² - 9

b)

4x² + 9

c)

4x²- 12x - 9

d)

4x² + 12x - 9

55.

Find the Product.
(2n + 3)(2n + 1)

a)

4n² + 8n + 3

b)

4n² - 8n - 3

c)

2n² + 8n - 3

d)

4n² - 8n + 3

56.

(x-3)(x²+2x+7)

a)

x³-x²+x-21

b)

x³+5x+13x-21

c)

x³-3x²+7x-21

d)

x²+2x-3

57.

Multiply the following together:

(2x + 3)(x² + 4x + 1)

a)

2x³ + 8x²+2x

b)

3x² + 12x +3

c)

2x³ +11x² +14x +3

d)

2x³ + 12x +3

58.

(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

59.

Simplify:
5(3x+2)

a)

3x+10

b)

15x+10

c)

15x-10

d)

3x-10

60.

Simplify:
2x ( -2x -3)

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

61.

4a(5a²- a + 4)

a)

20a³- 4a²+ 16a

b)

20a²- 5a + 8a

c)

20a²+ 4a²+ 16a

d)

20a³+3a² + 16a

62.

(3x - 5)(x² - 5x +6)

a)

3x³ - 20x² + 43x - 30

b)

3x^{2 -}- 43x

c)

3x³-25x -30

d)

3x³ +25x

63.

Simplify the expression.
-3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

64.

-5x⁶(3x² - 12x + 30)

a)

-15x⁸+ 60x⁷- 150x⁶

b)

15x⁸- 60x⁷- 150x⁶

c)

8x⁶- 17x + 35

d)

-8x⁶+ 17x - 35x²

65.

Multiply.
-3x²(7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

66.

Simplify the expression.
-3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

67.

(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

68.

(x-3)(x²+2x+7)

a)

x³-x²+x-21

b)

x³+5x+13x-21

c)

x³-3x²+7x-21

d)

x²+2x-3

69.

Is this division problem worked correctly?

a)

This is correct!

b)

This is incorrect!

70.

2x³ - 5x² + 3x + 7 ÷ x - 2

a)

2x³ - x² + x + 9

b)

2x² - x + 1

c)

2x² - x + 1 + 9/x-2

d)

2x² - 9x - 15 - 23/x-2

71.

3x³ + 5x - 1 ÷ x + 1

a)

3x³ - 3x² + 8x - 9

b)

3x² - 3x + 8 - 9/x+1

c)

3x² + 3x + 8 + 7/x+1

d)

3x³ + 3x² + 8x + 7

72.

Find the Quotient
(2x³ - 5x² - 3x + 7) / (x - 2)

a)

2x²- 9x +15

b)

2x² - x - 5

c)

2x² - 9x - 21

d)

2x² + x + 5

73.

Find the remainder
(2x³ - 5x - 7) / (x + 2)

a)

-9

b)

11

c)

-13

d)

-1

74.

a)

5p²- 16p

b)

5p + 4

c)

5p - 4

d)

5p + 4p

75.

Divide:
(9x² + 6x) ÷ 3x

a)

3x + 2

b)

3x² + 2x

c)

5x²

d)

3x + 6

76.

Divide the polynomial by the monomial.

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

77.

Find the quotient when (21x²- 52x + 32) is divided by (7x - 8).

a)

3x + 4

b)

3x + 3

c)

3x - 4

d)

3x + 2

78.

The area of a rectangular pool table is: x² + 14x +40.

The length is x + 4. What is the width?

a)

x + 8

b)

x + 14

c)

x + 10

d)

x +4

79.

Divide:
(24x + 4) / (6x+1)

a)

4

b)

4 + 4/6x+1

c)

4x + 0

d)

4x

80.

Divide:

(4x² - 24x + 35) / (2x - 5)

a)

2x - 7

b)

2x - 12

c)

2x + 12

d)

2x + 7

81.

$\frac{x^2-12x+20}{x-2}$

a)

x+7

b)

x+2

c)

X-10

d)

X-7

82.

$\frac{2x^3+7x^2-6x-8}{x+4}$

a)

$2x^2-x-2$

b)

$2x^3-x^2-2x$

c)

$2x^2+15x+54+\frac{208}{x+4}$

d)

$2x^3+15x^2+54x+208$

83.

Divide:

(4x³ - 2x² - 3) by (2x² - 1).

a)

2x - 1 + (2x - 4)/(2x² - 1)

b)

2x + 3 + (x - 3)/(2x² - 1)

c)

2x - 1

d)

2x + 3 + (3x-5)/(2x² - 1)

84.

Use long division to solve: $\left(3y^5+5y^2-12y+10\right)\div\left(y^2+2\right)$

a)

$3y^3+6y^2+5y$

b)

$3y^4-6y^2+5$

c)

$3y^3-6y^2+5y-5$

d)

$3y^3-6y+5$

85.

(2x³ + 5x² + 9) ÷ (x + 3)

a)

2x² - x + 3

b)

2x³ - x² + 3x

c)

2x² + 11x + 33 + 108/x+3

d)

2x² - 5x + 12

86.

(3x³ + 5x - 1) ÷ (x + 1)

a)

3x³ - 3x² + 8x - 9

b)

3x² - 3x + 8 - 9/x+1

c)

3x² + 3x + 8 + 7/x+1

d)

3x³ + 3x² + 8x + 7

87.

(2x³ - 5x - 7) ÷ (x - 2)

a)

2x³ - 4x² + 3x - 13

b)

2x³ + 4x² +3x - 1

c)

2x² - 4x + 3 - 13/x-2

d)

2x² + 4x + 3 - 1/x-2

88.

-2x²+4x+48 ÷ x+4

a)

-2x+12

b)

2x+12

c)

-4x+9

d)

4x+9

89.

x²-6x+8 ÷ x-2

a)

x-6

b)

x-9 R=2

c)

x-4

d)

x-8 R=3

90.

Use synthetic division:
(2x³ - 5x - 7) ÷ (x - 2)

a)

2x³ - 4x² + 3x - 13

b)

2x³ + 4x² +3x - 1

c)

2x² - 4x + 3 - 13/x-2

d)

2x² + 4x + 3 - 1/x-2

91.

(2x³ + 5x² + 9) ÷ (x + 3)

a)

2x² - x + 3

b)

2x³ - x² + 3x

c)

2x² + 11x + 33 + 108/x+3

d)

2x² - 5x + 12

92.

(3x³ - 2x² - 7x + 6) ÷ (x + 1)

a)

3x³ - 5x² - 2x + 8

b)

3x² + x - 6

c)

3x² - 5x - 2 + 8/x+1

d)

3x³ + x² - 6x

93.

(2x³ + 7x² - 6x - 8) ÷ (x + 4)

a)

2x² - x - 2

b)

2x³ - x² - 2x

c)

2x² + 15x + 54 + 208/x+4

d)

2x³ + 15x² + 54x + 208

94.

a)

x - 7

b)

x²- 7

c)

x + 7

d)

x²+ 3x - 54

95.

Divide using synthetic division
(2x³ + 4x² - 5) by (x + 3).

a)

2x² + 2x - 4 R(-12)

b)

2x² - 2x + 6 R(-23)

c)

2x² - 2x + 8 R(-20)

d)

2x² - 4x + 1 R0

96.

For synthetic division, what would be the number in the left hand box?

a)

0

b)

1

c)

2

d)

3

97.

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

98.

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

a)

3 0 -4 6 1

b)

6 -4 3 1 0

c)

6 -4 0 3 1

d)

-6 4 0 -3 -1

99.

Which term is missing in this problem?
2x³ + 5x² + 9 ÷
x + 3

a)

x⁴

b)

x³

c)

x²

d)

x

100.

If you are missing an exponent in your polynomial you must put a zero as a coefficient place holder for that exponent

a)

True

b)

False

101.

What is the proper way to write the answer for the following problem?

a)

2x³-x²-25x+12

b)

2x⁴-x³-25x²-12x+0

c)

2x³-x²-25x-12

d)

2x⁴-x³-25x²-12x-0

102.

If 𝒙²+𝟑𝒙+𝟕 is divided by 𝒙+𝟐, then what is the remainder?

a)

0

b)

-3

c)

9

d)

5

103.

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

104.

Is (x-2) a factor of f(x)= x³-8x²+14x-4?

a)

Yes, (x-2) is a factor. There is a remainder.

b)

No, (x-2) is not a factor. The remainder is zero.

c)

Yes, (x-2) is a factor. The remainder is zero.

d)

No, (x-2) is not a factor. There is a remainder.

105.

When p(x) = 9x⁴- 45x³+ 37x² + x +2 is divided by x - 2, a student can determine the remainder by evaluating p(2). What is the value of p(2)?

a)

p(2) = 656

b)

p(2) = 652

c)

p(2) = -64

d)

p(2) = -368

106.

Use the Remainder Theorem to solve 2x³+4x²+3x-6 by x = -2

a)

-12

b)

12

c)

0

d)

32

107.

If f(x) = 5x² ─ 7x ─10, find the value of f(5) using synthetic division.

a)

150

b)

80

c)

70

108.

if f(x) = x³+8x+24, then find f(-2) using synthetic division.

a)

12

b)

8

c)

0

d)

-6

109.

if f(x) = 3x² -9x -20, find the value of f(5) using synthetic division.

a)

0

b)

10

c)

15

d)

-7

110.

if f(x) = 3x² -9x -20, find the value of f(5) using synthetic division.

a)

0

b)

10

c)

15

d)

-7

111.

Use synthetic division to find $f\left(2\right)$ when $f\left(n\right)=n^2-2n-12.$

a)

$-4$

b)

$-12$

c)

$-7$

d)

$-6$

112.

Evaluate $f(a) = - 6 a^{4} + 29 a^{3} - 14 a^{2} - 20 a - 5$ at $a=4.$

a)

$-1$

b)

$11$

c)

$-5$

d)

$-7$

113.

Evaluate $f\left(x\right)=-x^3-4x^2-3x+9$
at $x=-3$ ?

a)

$-6$

b)

$9$

c)

$-7$

d)

$7$

114.

If f(x) = 3x² -9x -20, find the value of f(5).

a)

0

b)

10

c)

15

d)

-7

115.

Use synthetic division to determine f(-3), if
f(x)= (3x³ -5x² -4x +1).

a)

-25

b)

25

c)

113

d)

-113

116.

Use synthetic division to determine f(-5), if

f(x)= (5x⁷-x⁶-130x⁵+ 2x⁴+ 9x³-1).

a)

-1156

b)

0

c)

4

d)

124

117.

How many terms are in

$3x^2\ +4x\ -\ 5$

a)

1

b)

2

c)

3

d)

None

118.

What is the leading Coefficient in

$6y^4-5y^2+5x\ -7$

a)

-5

b)

5

c)

6

d)

-7

119.

Classify the polynomial below by degree

$5x^3-4x^2+2x-8$

a)

cubic

b)

quadratic

c)

quartic

d)

linear

120.

Classify the polynomial below by terms

$6x-2$

a)

linear

b)

quadratic

c)

binomial

d)

trinomial

121.

Classify the polynomial below by degree and terms

$x^2-4x-1$

a)

quadratic, trinomial

b)

linear, trinomial

c)

quartic, binomial

d)

cubic, trinomial

122.

Classify the polynomial by degree

$5x-1$

a)

quadratic

b)

linear

c)

binomial

d)

constant

123.

Classify the polynomial by degree and terms

6

a)

constant, monomial

b)

linear, monomial

c)

quadratic, binomial

d)

Can't be classified

124.

Put the polynomial in standard form

$6x\ -\ 4x^2+2\ -\ 5x^3$

a)

$-5x^3-4x^2+6x+2$

b)

$-4x^2+6x-5x^3+2$

c)

$-5x^3-6x+4x^2+2$

d)

it is in standard form

125.

What is the constant in

$7y^4-5x^3+9y^2-8x+4$

a)

7

b)

-5

c)

-8

d)

4

126.

Which polynomial is a quadratic binomial?

a)

$9m^2-3$

b)

7x+2

c)

$2x^3-5$

d)

$y^2+4x-1$

127.

How many terms does this polynomial have?

a)

$0$

b)

$1$

c)

2

d)

3

128.

Classify this polynomial by the number of its terms.

a)

monomial

b)

binomial

c)

trinomial

d)

quadnomial

129.

This polynomial is degree _________.

a)

0

b)

1

c)

2

d)

3

130.

What is the constant term of this polynomial?

a)

7

b)

2

c)

3

d)

9

e)

-9

131.

What is the leading term of this polynomial?

a)

$7b^2$

b)

7

c)

b

d)

9

e)

-9

132.

What is the leading coefficient of this polynomial?

a)

$7b^2$

b)

7

c)

b

d)

9

e)

-9

133.

Classify this polynomial by degree?

a)

constant

b)

linear

c)

quadratic

d)

cubic

e)

quartic

134.

Rewrite this polynomial in standard form.

$6x-2x^2+5$

a)

$2x^2-6x+5$

b)

$2x^2+6x+5$

c)

$5+6x-2x^2$

d)

$-2x^2+6x+5$

135.

Classify this polynomial.

$12x^2$

a)

Linear monomial

b)

quadractic monomial

c)

cubic monomial

d)

quadratic binomial

136.

Name the constant in this polynomial.

$4x^2-7x+6-x^3$

a)

4

b)

7

c)

6

d)

1

e)

-1

137.

What is the degree of this polynomial.

$4x^2-7x+6-x^3$

a)

0

b)

1

c)

2

d)

3

e)

4

138.

Classify this polynomial by degree.

$4x^2-7x+6-x^3$

a)

constant

b)

linear

c)

quadratic

d)

cubic

e)

quartic

139.

After writing this polynomial in standard form, what is the leading term?

$4x^2-7x+6-x^3$

a)

$4x^2$

b)

1

c)

-1

d)

$-x^3$

e)

$x^3$

140.

After writing this polynomial in standard form, what is the leading coefficient?

$4x^2-7x+6-x^3$

a)

4

b)

1

c)

-1

d)

$-x^3$

e)

$4x^2$

141.

Classify this polynomial by degree and number of terms.

$2+3x$

a)

linear binomial

b)

quadratic binomial

c)

cubic binomial

d)

quadratic trinomial

142.

What is the leading coefficient of this polynomial?

$2+3x$

a)

1

b)

2

c)

3

d)

4

143.

Write the polynomial in standard form given the following zeros. x = -2, 1, 4

a)

f(x) = (x+2)(x-1)(x-4)

b)

f(x) =x³ - 3x² - 6x + 8

c)

f(x) = x³+ 8

d)

f(x) = x³ - 3x² + 8

144.

Write a polynomial function of least degree with integral coefficients that has the given zeros.

a)

A

b)

B

c)

C

d)

D

145.

Write a polynomial function of least degree with integral coefficients that has the given zeros.

a)

A

b)

B

c)

C

d)

D

146.

Write the polynomial with the given zeros

a)

A

b)

B

c)

C

d)

D

147.

Write the polynomial with the given zeros

a)

A

b)

B

c)

C

d)

D

148.

For the following problem write the simplest polynomial function with the given zeros: 2, -1, and -8

a)

$x^3\ +7x^2\ +10x\ +16$

b)

$x^3\ +7x^2\ +10x\ -16$

c)

$x^3\ +7x^2\ -10x\ -16$

d)

$x^3\ -7x^2\ -10x\ -16$

149.

For the following problem write the simplest polynomial function with the given zeros: 2, -1, and -8

a)

$x^3\ +7x^2\ +10x\ +16$

b)

$x^3\ +7x^2\ +10x\ -16$

c)

$x^3\ +7x^2\ -10x\ -16$

d)

$x^3\ -7x^2\ -10x\ -16$

150.

Write the equation of the quadratic

whose roots are -4, -2.

a)

x²-6x+8

b)

x²+6x+8

c)

x²-4x-2

d)

x²-2x-4

151.

Write a polynomial function of least degree with integral coefficients and have zeros 3, - 1, 1, 2

a)

x⁴ - 5x³ + 5x² + 5x - 6

b)

x⁴ + 5x³ + 5x² + 5x - 6

c)

x⁴ - 5x³ - 5x² + 5x - 6

d)

x⁴ - 5x³ + 5x² + 5x + 6

152.

Write a polynomial function of least degree with integral coefficients and have zeros 4, - 1, 6

a)

x³ + 9x² + 14x + 24

b)

x³ - 9x² + 14x - 24

c)

x³ - 9x² + 14x + 24

d)

x³ - 9x² - 14x + 24

153.

Write a polynomial function of least degree with integral coefficients and have zeros 2, 1, -1.

a)

x³ - 2x² - x + 2

b)

x³ + 2x² - x + 2

c)

x³ - 2x² - x - 2

d)

x³ - 2x² + x + 2

154.

Build a Polynomial with the following Zeros:

-1, 4

a)

x² - 3x - 4

b)

x² + 3x + 4

c)

x² - 5x + 5

d)

x² - 5x - 4

155.

Write the equation of the quadratic

whose roots are -4, -2.

a)

x²-6x+8

b)

x²+6x+8

c)

x²-4x-2

d)

x²-2x-4

156.

Write the equation for a parabola

that opens downward whose zeros are x = 1, x = 3.

a)

x²-4x+3

b)

x²+4x+3

c)

-x²+4x-3

d)

-x²-4x-3

A2-CHAPTER 4 TEST 2025-26

Total questions: 156

Worksheet time: 12hrs 20mins

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