If the graph crosses the x-axis at (-5, 0) and (2, 0), what is the sum of the zeroes?
Answer and explanation
Correct answer: -3
The x-coordinates where the graph meets the x-axis are the zeros. Here the zeros are -5 and 2, so their sum = -5 + 2 = -3. Option B (3) is wrong because it ignores the negative sign of -5; option C (7) would be the sum of absolute values (5 + 2) which is a sign error; option D (-7) assumes both were negative. Exam tip: always take the x-values of x-intercepts and keep their signs before adding.
Frequently asked questions
What is the correct answer to this question?
-3
Why is this the correct answer?
The x-coordinates where the graph meets the x-axis are the zeros. Here the zeros are -5 and 2, so their sum = -5 + 2 = -3. Option B (3) is wrong because it ignores the negative sign of -5; option C (7) would be the sum of absolute values (5 + 2) which is a sign error; option D (-7) assumes both were negative. Exam tip: always take the x-values of x-intercepts and keep their signs before adding.
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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