Factor TheoremPractice Questions & MCQs
Practice Factor 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.
Factor TheoremQuiz - Solve & Score
Q1. A photographer arranging studio lights asks: which k lets (x - 2) divide x^2 + 3x + k with no remainder?
- A.-2
- B.2
- C.-10
- D.10
Answer: C. -10
By the Factor Theorem the binomial is a factor exactly when the quadratic is zero at x = 2. So 4 + 6 + k = 0, giving k = -10.
Q2. During a science fair a pupil presenting a model asks: what constant k forces (x - 3) to split off from x^2 + 7x + k?
- A.12
- B.-12
- C.-30
- D.30
Answer: C. -30
By the Factor Theorem the binomial is a factor exactly when the quadratic is zero at x = 3. So 9 + 21 + k = 0, giving k = -30.
Q3. A carpenter aligning a laser level asks: if x = 3 is a root of x^2 + 4x + k, what is k?
- A.3
- B.-3
- C.21
- D.-21
Answer: D. -21
By the Factor Theorem the binomial is a factor exactly when the quadratic is zero at x = 3. So 9 + 12 + k = 0, giving k = -21.
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Get early accessFactor Theorem - Frequently asked questions
Where can I practise Factor Theorem questions for Class 9 Maths?
RankByte has Factor 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 Factor Theorem questions important for the exam?
Yes. These Factor 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 Factor Theorem questions come with answers and solutions?
Every Factor 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.