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Which option can form a quadratic polynomial with rational coefficients?
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Answer and explanation
Correct answer: Zeroes (6+\sqrt{5}) and (6-\sqrt{5})
With rational coefficients, irrational parts occur in conjugate pairs. Only (6+\sqrt{5}) and (6-\sqrt{5}) have both rational sum and rational product.
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What is the correct answer to this question?
Zeroes (6+\sqrt{5}) and (6-\sqrt{5})
Why is this the correct answer?
With rational coefficients, irrational parts occur in conjugate pairs. Only (6+\sqrt{5}) and (6-\sqrt{5}) have both rational sum and rational product.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
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