If the zeros of a graph are -4, 1 and 8, what is the correct set of x-axis intersection points?
Answer and explanation
Correct answer: (-4,0), (1,0), (8,0)
A zero r corresponds to the point (r,0) on the x-axis because at x=r the function value y=0. Therefore for zeros -4, 1 and 8 the x-axis intersections are (-4,0), (1,0) and (8,0), which is option B. Option A is a common error: it places the zeros as y-coordinates, giving points on the y-axis. Exam tip: always treat a zero as the x-coordinate (write it as (x,0)) and keep the given order unless asked otherwise.
Frequently asked questions
What is the correct answer to this question?
(-4,0), (1,0), (8,0)
Why is this the correct answer?
A zero r corresponds to the point (r,0) on the x-axis because at x=r the function value y=0. Therefore for zeros -4, 1 and 8 the x-axis intersections are (-4,0), (1,0) and (8,0), which is option B. Option A is a common error: it places the zeros as y-coordinates, giving points on the y-axis. Exam tip: always treat a zero as the x-coordinate (write it as (x,0)) and keep the given order unless asked otherwise.
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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