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Question Expert Mathematics Polynomials Irrational numbers and real numbers Class 10 Level 25

यदि शून्यक \(\frac{3+\sqrt{5}}{2}\) और \(\frac{3-\sqrt{5}}{2}\) हैं, तो एकक बहुपद क्या है?

If the zeroes are \(\frac{3+\sqrt{5}}{2}\) and \(\frac{3-\sqrt{5}}{2}\), what is the monic polynomial?

Explanation opens after your attempt
Correct Answer

A. \(x^2-3x+1\)

Step 1

Concept

The sum is (3) and the product is \(\frac{9-5}{4}=1\). Therefore the polynomial is \(x^2-3x+1\).

Step 2

Why this answer is correct

The correct answer is A. \(x^2-3x+1\). The sum is (3) and the product is \(\frac{9-5}{4}=1\). Therefore the polynomial is \(x^2-3x+1\).

Step 3

Exam Tip

योग (3) और गुणनफल \(\frac{9-5}{4}=1\) है। इसलिए बहुपद \(x^2-3x+1\) है।

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