If x = 7 is a zero of a polynomial, which point must lie on its graph?
Answer and explanation
Correct answer: (7,0)
If x = 7 is a zero of the polynomial p(x), then p(7) = 0. Points on the graph are of the form (x, p(x)), so at x = 7 the y-value is 0 and the point (7,0) must lie on the graph. The distractor (7,7) is wrong because it gives y ≠ 0; (0,7) is wrong due to reversed coordinates; (-7,0) is wrong because the x-coordinate is -7, not 7. Exam tip: put the zero as the x-coordinate and set y = 0 to get the point.
Frequently asked questions
What is the correct answer to this question?
(7,0)
Why is this the correct answer?
If x = 7 is a zero of the polynomial p(x), then p(7) = 0. Points on the graph are of the form (x, p(x)), so at x = 7 the y-value is 0 and the point (7,0) must lie on the graph. The distractor (7,7) is wrong because it gives y ≠ 0; (0,7) is wrong due to reversed coordinates; (-7,0) is wrong because the x-coordinate is -7, not 7. Exam tip: put the zero as the x-coordinate and set y = 0 to get the point.
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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