The x-axis intersections of a parabola are (r, 0) and (s, 0). What is the average of its zeroes?
Answer and explanation
Correct answer: (r + s) / 2
The governing concept is that the zeroes of a polynomial are the x-coordinates where its graph meets the x-axis. Here the two zeroes are r and s because the intersection points are (r, 0) and (s, 0). The average of two numbers is their sum divided by the number of values. Therefore, average = (r + s) / 2. Option C is correct. Option A is the product, not the average; option B is only the sum; and option D uses subtraction, which is not the average formula. The y-coordinate 0 identifies the points as x-axis intersections.
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What is the correct answer to this question?
(r + s) / 2
Why is this the correct answer?
The governing concept is that the zeroes of a polynomial are the x-coordinates where its graph meets the x-axis. Here the two zeroes are r and s because the intersection points are (r, 0) and (s, 0). The average of two numbers is their sum divided by the number of values. Therefore, average = (r + s) / 2. Option C is correct. Option A is the product, not the average; option B is only the sum; and option D uses subtraction, which is not the average formula. The y-coordinate 0 identifies the points as x-axis intersections.
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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