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monic-polynomial MCQ Questions for Class 10

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2 questions tagged with monic-polynomial.

Question 1/2 Medium Mathematics Polynomials Polynomials in one variable Class 10 Level 47

निम्न में से किस बहुपद में प्रमुख गुणांक (1) नहीं है?

Which of the following polynomials does not have leading coefficient (1)?

Explanation opens after your attempt
Correct Answer

C. \(3x^2+x+1\)

Step 1

Concept

The leading term of \(3x^2+x+1\) is \(3x^2\). Its leading coefficient is (3), not (1).

Step 2

Why this answer is correct

The correct answer is C. \(3x^2+x+1\). The leading term of \(3x^2+x+1\) is \(3x^2\). Its leading coefficient is (3), not (1).

Step 3

Exam Tip

\(3x^2+x+1\) का प्रमुख पद \(3x^2\) है। इसका प्रमुख गुणांक (3) है, (1) नहीं।

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Question 2/2 Expert Mathematics Polynomials Irrational numbers and real numbers Class 10 Level 25

यदि \(\sqrt{3}\) और \(\sqrt{12}\) किसी द्विघात बहुपद के शून्यक हैं, तो एकक बहुपद में (x) का गुणांक क्या होगा?

If \(\sqrt{3}\) and \(\sqrt{12}\) are zeroes of a monic quadratic polynomial, what will be the coefficient of (x)?

Explanation opens after your attempt
Correct Answer

A. \(-3\sqrt{3}\)

Step 1

Concept

\(\sqrt{12}=2\sqrt{3}\), so the sum is \(3\sqrt{3}\). In a monic polynomial, the coefficient of (x) is the negative of the sum of zeroes.

Step 2

Why this answer is correct

The correct answer is A. \(-3\sqrt{3}\). \(\sqrt{12}=2\sqrt{3}\), so the sum is \(3\sqrt{3}\). In a monic polynomial, the coefficient of (x) is the negative of the sum of zeroes.

Step 3

Exam Tip

\(\sqrt{12}=2\sqrt{3}\), इसलिए योग \(3\sqrt{3}\) है। एकक बहुपद में (x) का गुणांक शून्यकों के योग का ऋणात्मक होता है।

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