If the graph of a polynomial intersects the x-axis at \((-\sqrt{3},0)\), what is the zero (root) of the polynomial?
Answer and explanation
Correct answer: \(-\sqrt{3}\)
A zero (root) of a polynomial is the x‑value where its graph meets the x‑axis — i.e. the x‑coordinate of the intercept. The given intercept \((-\sqrt{3},0)\) has x‑coordinate \(-\sqrt{3}\), so that is the zero. Option D is the full point (ordered pair), not the zero itself; option C is the y‑coordinate (0); option B has the wrong sign. Exam tip: from an x‑axis intercept (a,b) pick the first component a as the root.
Frequently asked questions
What is the correct answer to this question?
\(-\sqrt{3}\)
Why is this the correct answer?
A zero (root) of a polynomial is the x‑value where its graph meets the x‑axis — i.e. the x‑coordinate of the intercept. The given intercept \((-\sqrt{3},0)\) has x‑coordinate \(-\sqrt{3}\), so that is the zero. Option D is the full point (ordered pair), not the zero itself; option C is the y‑coordinate (0); option B has the wrong sign. Exam tip: from an x‑axis intercept (a,b) pick the first component a as the root.
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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