If the graph of a polynomial meets the x-axis at the point (7, 0), what is the value of p(x) at that point?
Answer and explanation
Correct answer: 0
Any point on the x-axis has y-coordinate 0. The point (7, 0) therefore means the polynomial's value at x=7 is 0, i.e. \(p(7)=0\). Options B (7) and C (-7) confuse the x-coordinate with the function value; option D (1) is also incorrect. Exam tip: for a point (a, b) on a graph, always use \(p(a)=b\).
Frequently asked questions
What is the correct answer to this question?
0
Why is this the correct answer?
Any point on the x-axis has y-coordinate 0. The point (7, 0) therefore means the polynomial's value at x=7 is 0, i.e. \(p(7)=0\). Options B (7) and C (-7) confuse the x-coordinate with the function value; option D (1) is also incorrect. Exam tip: for a point (a, b) on a graph, always use \(p(a)=b\).
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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