If a graph has zeros −2, 3 and 7, which is the correct set of x-axis intersection points?
Answer and explanation
Correct answer: (-2,0), (3,0), (7,0)
If a polynomial has a zero a, the graph meets the x-axis at (a,0) because the polynomial's value is zero at x = a. For zeros −2, 3 and 7 the x-intercepts are (−2,0), (3,0) and (7,0), which is option B. Distractor A incorrectly treats zeros as y-intercepts (0,a); C and D alter the order or signs of coordinates, so they are wrong. Exam tip: always write a zero a as the point (a,0) on the x-axis.
Frequently asked questions
What is the correct answer to this question?
(-2,0), (3,0), (7,0)
Why is this the correct answer?
If a polynomial has a zero a, the graph meets the x-axis at (a,0) because the polynomial's value is zero at x = a. For zeros −2, 3 and 7 the x-intercepts are (−2,0), (3,0) and (7,0), which is option B. Distractor A incorrectly treats zeros as y-intercepts (0,a); C and D alter the order or signs of coordinates, so they are wrong. Exam tip: always write a zero a as the point (a,0) on the x-axis.
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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