If a graph intersects the x-axis at (-4, 0), (6, 0) and (16, 0), what is the mean (average) of its zeros?
Answer and explanation
Correct answer: 6
The zeros are the x-values -4, 6 and 16. Mean = \(\dfrac{-4+6+16}{3}=\dfrac{18}{3}=6\). Option B (18) is the sum of the zeros, not the average. Option D (16) is just one root, not the mean. Exam tip: read the x-coordinates of intercepts first and then compute their average.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
The zeros are the x-values -4, 6 and 16. Mean = \(\dfrac{-4+6+16}{3}=\dfrac{18}{3}=6\). Option B (18) is the sum of the zeros, not the average. Option D (16) is just one root, not the mean. Exam tip: read the x-coordinates of intercepts first and then compute their average.
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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