Geometric meaning of zeros of a polynomialPractice Questions & MCQs
Practice Geometric meaning of zeros of a polynomial 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.
Geometric meaning of zeros of a polynomialQuiz - Solve & Score
Q1. The graph of y = x^2 + 1 has how many real zeros?
- A.2
- B.0
- C.1
- D.infinitely many
Answer: B. 0
Q2. Which cannot be the number of real zeros of a quadratic polynomial?
- A.2
- B.0
- C.1
- D.3
Answer: D. 3
Spot-the-setup - a typical math numerical. We are after the quantity the stem asks for. Tool of choice - apply the quadratic formula x = (-b +/- sqrt(b^2 - 4ac))/(2a) to the given equation. Rearrange it for the unknown before substituting. Numbers in: apply the quadratic formula x = (-b +/- sqrt(b^2 - 4ac))/(2a) to the given equation → so the required value = 3. Common-sense check: substitute the coefficients and simplify. Lock in option D) 3. Trap-watch: option A) '2' is wrong because Possible: graph cuts the x-axis twice; option B) '0' is incorrect: Possible: graph misses the x-axis.
Q3. In an archery target overlay, the arrow's path outline meets the ground line at 1 unique points; how many real zeros does the path polynomial possess?
- A.2
- B.3
- C.0
- D.1
Answer: D. 1
Real zeros are precisely the x-values where the graph meets the horizontal axis (there the polynomial equals 0). The curve meets the axis at 1 distinct points, so it has 1 real zeros.
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