If a graph cuts the x-axis at the points (-3, 0), (0, 0) and (6, 0), what is the sum of its zeroes?
Answer and explanation
Correct answer: 3
The zeroes are the x-coordinates of the x-intercepts. Here the zeroes are -3, 0 and 6, so their sum is -3 + 0 + 6 = 3. The closest distractor B (6) is wrong because it corresponds to omitting the -3 (i.e., adding only 0 and 6). Exam tip: always include every x-intercept's x-value and keep track of signs when summing roots.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
The zeroes are the x-coordinates of the x-intercepts. Here the zeroes are -3, 0 and 6, so their sum is -3 + 0 + 6 = 3. The closest distractor B (6) is wrong because it corresponds to omitting the -3 (i.e., adding only 0 and 6). Exam tip: always include every x-intercept's x-value and keep track of signs when summing roots.
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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