Zeroes, relationship coeff/zeroes, division algorithmPractice Questions & MCQs
Practice Zeroes, relationship coeff/zeroes, division algorithm questions from Polynomials (Class 10 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.
Zeroes, relationship coeff/zeroes, division algorithmQuiz - Solve & Score
Q1. An engineer models the height of a fountain jet by x^2 - 8x + 7; at what two horizontal distances does the water return to ground level?
- A.x = 8 and x = 7
- B.x = -1 and x = -7
- C.x = 1 and x = 7
- D.x = 1 and x = -7
Answer: C. x = 1 and x = 7
Factor x^2 - 8x + 7: seek two numbers with product 7 and sum 8. It becomes (x - (1))(x - (7)), giving zeroes x = 1 and x = 7.
Q2. Demand minus supply in a small market is x^2 - 13x + 40; at which two prices does this difference become zero?
- A.x = 5 and x = 8
- B.x = -5 and x = -8
- C.x = 5 and x = -8
- D.x = 13 and x = 40
Answer: A. x = 5 and x = 8
Factor x^2 - 13x + 40: seek two numbers with product 40 and sum 13. It becomes (x - (5))(x - (8)), giving zeroes x = 5 and x = 8.
Q3. A baker finds that daily profit in hundreds of rupees obeys x^2 + 17x + 72; for which two output quantities does this profit vanish?
- A.x = 9 and x = 8
- B.x = -9 and x = -8
- C.x = -9 and x = 8
- D.x = -17 and x = 72
Answer: B. x = -9 and x = -8
Factor x^2 + 17x + 72: seek two numbers with product 72 and sum -17. It becomes (x - (-9))(x - (-8)), giving zeroes x = -9 and x = -8.
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