If the zeros of a polynomial's graph are -6, 2 and 9, what is the correct set of x-axis intersection points?
Answer and explanation
Correct answer: (-6,0), (2,0), (9,0)
A zero r corresponds to the x-intercept (r,0) because the y-coordinate is zero at an x-axis crossing. Thus zeros -6, 2 and 9 give (-6,0), (2,0) and (9,0). Common mistake: option A swaps coordinates, placing the zero as a y-value instead of x. Exam tip: write each zero as the x-coordinate (r,0) and quickly plot to verify.
Frequently asked questions
What is the correct answer to this question?
(-6,0), (2,0), (9,0)
Why is this the correct answer?
A zero r corresponds to the x-intercept (r,0) because the y-coordinate is zero at an x-axis crossing. Thus zeros -6, 2 and 9 give (-6,0), (2,0) and (9,0). Common mistake: option A swaps coordinates, placing the zero as a y-value instead of x. Exam tip: write each zero as the x-coordinate (r,0) and quickly plot to verify.
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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