If a graph passes through the points (0,4), (-3,0), (1,7) and (8,0), which points represent zeros of the polynomial?
Answer and explanation
Correct answer: (-3,0) and (8,0)
Zeros correspond to x‑values where the graph meets the x‑axis, i.e. y=0. Among the given points only (-3,0) and (8,0) have their second coordinate equal to 0, so they represent zeros. Option C is wrong because (0,4) has y≠0; option A is wrong because neither point has y=0; option D is incorrect since not all points have y=0. Exam tip: always check the second coordinate — zeros require y=0.
Frequently asked questions
What is the correct answer to this question?
(-3,0) and (8,0)
Why is this the correct answer?
Zeros correspond to x‑values where the graph meets the x‑axis, i.e. y=0. Among the given points only (-3,0) and (8,0) have their second coordinate equal to 0, so they represent zeros. Option C is wrong because (0,4) has y≠0; option A is wrong because neither point has y=0; option D is incorrect since not all points have y=0. Exam tip: always check the second coordinate — zeros require 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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