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If a graph cuts the x-axis at the points (2,0) and (14,0), what is the average of the zeroes?

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Answer and explanation

Correct answer: 8

The zeroes are the x-coordinates where the graph meets the x-axis, so take the average of those x-values. Average = \(\dfrac{2+14}{2}=8\). Option A (6) is incorrect because 6 would be the average of 2 and 10, not of 2 and 14. Exam tip: for x-intercepts, average their x-coordinates: add them and divide by 2.

Related tags

PolynomialsZeroesX-AxisAverageCoordinate-Geometry

Frequently asked questions

What is the correct answer to this question?

8

Why is this the correct answer?

The zeroes are the x-coordinates where the graph meets the x-axis, so take the average of those x-values. Average = \(\dfrac{2+14}{2}=8\). Option A (6) is incorrect because 6 would be the average of 2 and 10, not of 2 and 14. Exam tip: for x-intercepts, average their x-coordinates: add them and divide by 2.

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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