If a graph contains the points \\((2,3)\\) and \\((5,0)\\), which x-value is definitely a zero of the polynomial/function?
Answer and explanation
Correct answer: 5
Point \\((5,0)\\) has y=0, so it's an x-intercept and therefore \(x=5\) is a zero of the polynomial/function. The point \\((2,3)\\) has y=3 (y\neq0), so \(x=2\) is not a zero. Exam tip: an x-value is a zero only when the corresponding y-coordinate equals 0 (i.e., the graph meets the x-axis).
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
Point \\((5,0)\\) has y=0, so it's an x-intercept and therefore \(x=5\) is a zero of the polynomial/function. The point \\((2,3)\\) has y=3 (y\neq0), so \(x=2\) is not a zero. Exam tip: an x-value is a zero only when the corresponding y-coordinate equals 0 (i.e., the graph meets the x-axis).
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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