If a graph has x-axis intersections at (-2,0), (4,0) and (10,0), what is the mean of their zeroes?
Answer and explanation
Correct answer: 4
Zeroes are the x‑values where the graph meets the x‑axis; here they are -2, 4 and 10. The mean is the sum divided by the count: \(\frac{-2+4+10}{3}=4\). The closest distractor B (12) is the sum of the zeroes, not the mean. Exam tip: read only the x‑coordinates from intercepts and divide by the number of zeroes.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
Zeroes are the x‑values where the graph meets the x‑axis; here they are -2, 4 and 10. The mean is the sum divided by the count: \(\frac{-2+4+10}{3}=4\). The closest distractor B (12) is the sum of the zeroes, not the mean. Exam tip: read only the x‑coordinates from intercepts and divide by the number of zeroes.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Geometrical meaning of the zeroes of a polynomial..
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