Factor Theorem MCQs
Practice Factor Theorem multiple-choice questions from Polynomials (Class 9 Maths) - tap an answer for instant feedback and a step-by-step solution. 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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