If a quadratic polynomial has real zeroes 1 and 4, at which points will its graph cut the x-axis?
Answer and explanation
Correct answer: (1, 0) and (4, 0)
If a polynomial has a zero a, its graph meets the x-axis at (a,0) because the y-value is zero there. So zeros 1 and 4 give intersection points (1,0) and (4,0). Option B is wrong because those are points on the y-axis, C is wrong since y≠0 at those coordinates, and D is wrong because the signs of the zeros are incorrect. Exam tip: Always convert a zero a to the point (a,0) on the graph.
Frequently asked questions
What is the correct answer to this question?
(1, 0) and (4, 0)
Why is this the correct answer?
If a polynomial has a zero a, its graph meets the x-axis at (a,0) because the y-value is zero there. So zeros 1 and 4 give intersection points (1,0) and (4,0). Option B is wrong because those are points on the y-axis, C is wrong since y≠0 at those coordinates, and D is wrong because the signs of the zeros are incorrect. Exam tip: Always convert a zero a to the point (a,0) on the graph.
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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