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If one zero of a quadratic polynomial with rational coefficients is (6-2\sqrt{5}), what is one possible form of that polynomial?
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Answer and explanation
Correct answer: (x^2-12x+16)
The other zero is (6+2\sqrt{5}). The sum is (12) and product is (36-20=16), so the polynomial is (x^2-12x+16).
Frequently asked questions
What is the correct answer to this question?
(x^2-12x+16)
Why is this the correct answer?
The other zero is (6+2\sqrt{5}). The sum is (12) and product is (36-20=16), so the polynomial is (x^2-12x+16).
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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