Remainder TheoremPractice Questions & MCQs
Practice Remainder Theorem questions from Polynomials (Class 9 Maths) - important MCQs with answers and step-by-step solutions. Solve the sample questions below, then practice the full set free on the RankByte app.
Remainder TheoremQuiz - Solve & Score
Q1. A potter glazing a bowl for the kiln describes the load by p(x) = 3x^2 - 3x + 4. When the parameter is moved to x = 4, what value does the remainder on dividing p(x) by (x - 4) equal?
- A.32
- B.40
- C.36
- D.64
Answer: B. 40
By the Remainder Theorem the remainder on dividing by (x - 4) is p(4). Substitute: p(4) = 3x^2 - 3x + 4. Compute term by term: 3*(4)^2 - 3*(4) + 4 = 40.
Q2. A bridge inspector reading a strain gauge models the system by p(x) = 2x^3 + 2x^2 - 3. What remainder results when p(x) is divided by (x + 1)?
- A.1
- B.0
- C.-1
- D.-3
Answer: D. -3
Remainder on division by (x + 1) equals p(-1). p(-1) = 2*(-1)^3 + 2*(-1)^2 - 3 = -3.
Q3. A video-game physics coder sets the model p(x) = 2x^2 + 4x - 3 and divides it by (3x - -3). What remainder is produced?
- A.-5
- B.-4
- C.3
- D.27
Answer: A. -5
Set the divisor to zero: 3x - -3 = 0 gives x = -1. The remainder is p(-1) = 2*(-1)^2 + 4*(-1) - 3 = -5.
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Get early accessRemainder Theorem - Frequently asked questions
Where can I practise Remainder Theorem questions for Class 9 Maths?
RankByte has Remainder Theorem practice questions and MCQs from Polynomials (Class 9 Maths), each with the correct answer and a step-by-step solution - free to start.
Are these Remainder Theorem questions important for the exam?
Yes. These Remainder Theorem important questions follow the Maths exam pattern (CBSE Boards, plus JEE and NEET foundation), so they help with both school and competitive prep.
Do the Remainder Theorem questions come with answers and solutions?
Every Remainder Theorem question on RankByte comes with the correct answer and a full step-by-step solution, so you learn the concept instead of just guessing.