Which of the following points shows that x = 9 is a zero of the polynomial p(x)?
Answer and explanation
Correct answer: (9, 0)
If x = 9 is a zero of p(x), then p(9) = 0. On the graph this corresponds to a point on the x‑axis with y = 0, namely (9, 0). Option D has y = 0 but x = -9, so it does not represent x = 9. Options B and C have y ≠ 0, so they cannot be zeros. Exam tip: For a zero x = a of a polynomial, the graph passes through (a, 0) — check the x‑coordinate equals the given zero and y = 0.
Frequently asked questions
What is the correct answer to this question?
(9, 0)
Why is this the correct answer?
If x = 9 is a zero of p(x), then p(9) = 0. On the graph this corresponds to a point on the x‑axis with y = 0, namely (9, 0). Option D has y = 0 but x = -9, so it does not represent x = 9. Options B and C have y ≠ 0, so they cannot be zeros. Exam tip: For a zero x = a of a polynomial, the graph passes through (a, 0) — check the x‑coordinate equals the given zero and y = 0.
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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