If (2+\sqrt{3}) is a zero of a polynomial with rational coefficients, which linear factor is expected to accompany it?
Answer and explanation
Correct answer: (x-(2-\sqrt{3}))
The companion zero is (2-\sqrt{3}), so the factor is (x-(2-\sqrt{3})). In exams remember the relation between a zero and factor as (x-\alpha).
Frequently asked questions
What is the correct answer to this question?
(x-(2-\sqrt{3}))
Why is this the correct answer?
The companion zero is (2-\sqrt{3}), so the factor is (x-(2-\sqrt{3})). In exams remember the relation between a zero and factor as (x-\alpha).
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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