If the x-axis intersections of a parabola are \\((-1,0)\\) and \\((4,0)\\), what is the sum of its zeroes?
Answer and explanation
Correct answer: 3
The zeroes of the parabola are the x-coordinates of its x-intercepts. Here the zeroes are \\(-1\\) and \\(4\\), so their sum is \\(-1 + 4 = 3\\). A common trap (option C: 4) is to pick one root instead of the sum. Exam tip: read the x-values from intercept points to get the zeroes directly.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
The zeroes of the parabola are the x-coordinates of its x-intercepts. Here the zeroes are \\(-1\\) and \\(4\\), so their sum is \\(-1 + 4 = 3\\). A common trap (option C: 4) is to pick one root instead of the sum. Exam tip: read the x-values from intercept points to get the zeroes directly.
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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