If a graph touches the x-axis at \\((5,0)\\) and crosses it at \\((-3,0)\\), what is the sum of the zeroes?
Answer and explanation
Correct answer: 2
The x-intercepts \\((5,0)\\) and \\((-3,0)\\) correspond to zeroes 5 and −3. Their sum is \\(5+(-3)=2\\). Note: a touch-point is still a zero (usually even multiplicity) and a cross-point is a zero with odd multiplicity, but multiplicity does not change the numerical values of the zeroes. Exam tip: use the x-coordinates of the given intercepts as the roots directly.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
The x-intercepts \\((5,0)\\) and \\((-3,0)\\) correspond to zeroes 5 and −3. Their sum is \\(5+(-3)=2\\). Note: a touch-point is still a zero (usually even multiplicity) and a cross-point is a zero with odd multiplicity, but multiplicity does not change the numerical values of the zeroes. Exam tip: use the x-coordinates of the given intercepts as the roots 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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