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If (x=5+2\sqrt{6}), which quadratic polynomial with rational coefficients can have (x) as a zero?
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Answer and explanation
Correct answer: (x^2-10x+1)
The companion zero is (5-2\sqrt{6}), with sum (10) and product (25-24=1). In exams form the polynomial using the conjugate.
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What is the correct answer to this question?
(x^2-10x+1)
Why is this the correct answer?
The companion zero is (5-2\sqrt{6}), with sum (10) and product (25-24=1). In exams form the polynomial using the conjugate.
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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