If the real zeroes of a polynomial are (5), (5) and (−1), what are the distinct real zeroes?
Answer and explanation
Correct answer: (5) and (−1)
When listing distinct zeroes, repeated roots are counted only once. Here 5 is repeated, so the distinct real zeroes are 5 and −1. Option C is incorrect because it lists 5 twice; options B and D are incorrect because each omits one of the values. Exam tip: write the values and remove duplicates (think of a set) to list distinct roots quickly.
Frequently asked questions
What is the correct answer to this question?
(5) and (−1)
Why is this the correct answer?
When listing distinct zeroes, repeated roots are counted only once. Here 5 is repeated, so the distinct real zeroes are 5 and −1. Option C is incorrect because it lists 5 twice; options B and D are incorrect because each omits one of the values. Exam tip: write the values and remove duplicates (think of a set) to list distinct roots quickly.
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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