The graph only touches the x-axis at (2, 0). Which is the zero?
Answer and explanation
Correct answer: 2
A zero of a polynomial is an x-value for which the polynomial’s value is zero. Geometrically, it is the x-coordinate of a point where the graph meets the x-axis. The word “touches” does not change this definition: a graph may cross the axis or merely touch it, and either event gives a zero. At the point (2, 0), the x-coordinate is 2 and the y-coordinate is 0, so f(2) = 0. Therefore the zero is 2, and option A is correct. Option B confuses the y-coordinate with the required input; option C invents an additional zero not shown by the graph; and option D is wrong because touching the x-axis still counts as meeting it and establishes a zero.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
A zero of a polynomial is an x-value for which the polynomial’s value is zero. Geometrically, it is the x-coordinate of a point where the graph meets the x-axis. The word “touches” does not change this definition: a graph may cross the axis or merely touch it, and either event gives a zero. At the point (2, 0), the x-coordinate is 2 and the y-coordinate is 0, so f(2) = 0. Therefore the zero is 2, and option A is correct. Option B confuses the y-coordinate with the required input; option C invents an additional zero not shown by the graph; and option D is wrong because touching the x-axis still counts as meeting it and establishes a zero.
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..
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
