Released Items
Published October 2018
NC Math 3
North Carolina
End-of-Course
Assessment
Public Schools of North Carolina
Department of Public Instruction | State Board of Education
Division of Accountability Services/North Carolina Testing Program
Copyright ã 2018 by the North Carolina Department of Public Instruction. All rights reserved.
, NC MATH 3—RELEASED ITEMS
Questions 1 and 2 are gridded response items that require you to write your
answers in the boxes provided on your answer sheet. Write only one number or
symbol in each box and fill in the circle in each column that matches what you
have printed. Fill in only one circle in each column.
1 What is the remainder when x3 – 1 is divided by (x + 2)?
D
2 The function below, f(x), has (x – 7) and (x + 4i) as factors.
SE
f(x) = 2x5 – 13x4 + 22x3 – 187x2 – 160x + 336
What is the total number of real zeros of f(x)?
EA
EL
R
1 Go to the next page.
, NC MATH 3—RELEASED ITEMS
3 The graph of the function m(x) = x3 + 3x2 – 2x – 4 has a zero at –1. What are the
other zeros of the function?
A − 2 and 2
B − 1 and 4
C −1 ± 5
D 1 ± 2 3
D
4 Which expression is equivalent to (x2 – 2x – 37) ÷ (x2 – 3x – 40)?
x +3
A
B
1+
1−
2
x − 3x − 40
x +3
x 2 − 3x − 40
SE
EA
1+ 2x − 37
C 2
x − 3x − 40
1− 2x − 37
D
EL
2
x − 3x − 40
R
2 Go to the next page.
Published October 2018
NC Math 3
North Carolina
End-of-Course
Assessment
Public Schools of North Carolina
Department of Public Instruction | State Board of Education
Division of Accountability Services/North Carolina Testing Program
Copyright ã 2018 by the North Carolina Department of Public Instruction. All rights reserved.
, NC MATH 3—RELEASED ITEMS
Questions 1 and 2 are gridded response items that require you to write your
answers in the boxes provided on your answer sheet. Write only one number or
symbol in each box and fill in the circle in each column that matches what you
have printed. Fill in only one circle in each column.
1 What is the remainder when x3 – 1 is divided by (x + 2)?
D
2 The function below, f(x), has (x – 7) and (x + 4i) as factors.
SE
f(x) = 2x5 – 13x4 + 22x3 – 187x2 – 160x + 336
What is the total number of real zeros of f(x)?
EA
EL
R
1 Go to the next page.
, NC MATH 3—RELEASED ITEMS
3 The graph of the function m(x) = x3 + 3x2 – 2x – 4 has a zero at –1. What are the
other zeros of the function?
A − 2 and 2
B − 1 and 4
C −1 ± 5
D 1 ± 2 3
D
4 Which expression is equivalent to (x2 – 2x – 37) ÷ (x2 – 3x – 40)?
x +3
A
B
1+
1−
2
x − 3x − 40
x +3
x 2 − 3x − 40
SE
EA
1+ 2x − 37
C 2
x − 3x − 40
1− 2x − 37
D
EL
2
x − 3x − 40
R
2 Go to the next page.
