Expert Mathematics Polynomials Class 10 Level 25

यदि \(2+\sqrt{13}\) परिमेय गुणांकों वाले द्विघात बहुपद का एक शून्यक है, तो उस बहुपद में (x) का गुणांक किस रूप में हो सकता है?

If \(2+\sqrt{13}\) is one zero of a quadratic polynomial with rational coefficients, what can the coefficient of (x) be?

Explanation opens after your attempt
Correct Answer

A. (-4)

Step 1

Concept

The other zero will be \(2-\sqrt{13}\), so the sum is (4). In a monic polynomial, the coefficient of (x) will be (-4).

Step 2

Why this answer is correct

The correct answer is A. (-4). The other zero will be \(2-\sqrt{13}\), so the sum is (4). In a monic polynomial, the coefficient of (x) will be (-4).

Step 3

Exam Tip

दूसरा शून्यक \(2-\sqrt{13}\) होगा, इसलिए योग (4) है। एकक बहुपद में (x) का गुणांक (-4) होगा।

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Mathematics Answer, Explanation and Revision Hints

यदि \(2+\sqrt{13}\) परिमेय गुणांकों वाले द्विघात बहुपद का एक शून्यक है, तो उस बहुपद में (x) का गुणांक किस रूप में हो सकता है? / If \(2+\sqrt{13}\) is one zero of a quadratic polynomial with rational coefficients, what can the coefficient of (x) be?

Correct Answer: A. (-4). Explanation: दूसरा शून्यक \(2-\sqrt{13}\) होगा, इसलिए योग (4) है। एकक बहुपद में (x) का गुणांक (-4) होगा। / The other zero will be \(2-\sqrt{13}\), so the sum is (4). In a monic polynomial, the coefficient of (x) will be (-4).

Which concept should I revise for this Mathematics MCQ?

The other zero will be \(2-\sqrt{13}\), so the sum is (4). In a monic polynomial, the coefficient of (x) will be (-4).

What exam hint can help solve this Mathematics question?

दूसरा शून्यक \(2-\sqrt{13}\) होगा, इसलिए योग (4) है। एकक बहुपद में (x) का गुणांक (-4) होगा।

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