Remainder and factor theorem Quiz
10 questions · easy to harder · Algebra 2 · score and step-by-step answers
How it works
- 10 questions, about 20 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 8 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise the lesson with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
1 Question 1
Remainder when x2 + 3x − 4 is divided by x − 2- A) remainder = 6
- B) remainder = 2
- C) remainder = 0
- D) remainder = 4
2 Question 2
Remainder when x3 − 2x2 + 4 is divided by x − 3Type the answer.
3 Question 3
Is x − 1 a factor of x2 + 2x − 3- A) Yes
- B) No
4 Question 4
Is x − 2 a factor of x2 + x + 1- A) Yes
- B) No
5 Question 5
Remainder when 2x3 − 3x2 + x − 4 is divided by x − 2- A) remainder = 7
- B) remainder = 2
- C) remainder = 4
- D) remainder = 0
6 Question 6
Is x − 2 a factor of x3 − 3x2 + 4- A) Yes
- B) No
7 Question 7
Is x + 2 a factor of x3 + x2 − 5- A) Yes
- B) No
8 Question 8
Is x − 3 a factor of x3 − 27- A) Yes
- B) No
9 Question 9
Remainder when 2x4 − x3 + 3x − 5 is divided by x + 1- A) remainder = 5
- B) remainder = 0
- C) remainder = 1
- D) remainder = −5
10 Question 10
Remainder when x3 − 6x2 + 11x − 6 is divided by x − 4Type the answer.