Which option correctly says that the product of (4x+1) and (x-6) is not linear?
Answer and explanation
Correct answer: क्योंकि डिग्री 2 है
The governing concept is the degree of a polynomial. A polynomial is linear only when its highest power of x is 1. Expanding the product gives (4x + 1)(x − 6) = 4x² − 24x + x − 6 = 4x² − 23x − 6. The leading term is 4x², and its coefficient is nonzero, so the product has degree 2. It is therefore a quadratic polynomial, not a linear polynomial, making option D correct. Option A would describe a genuinely linear polynomial. Options B and C are also incorrect because the result contains x² and is neither a constant nor identically zero.
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What is the correct answer to this question?
क्योंकि डिग्री 2 है
Why is this the correct answer?
The governing concept is the degree of a polynomial. A polynomial is linear only when its highest power of x is 1. Expanding the product gives (4x + 1)(x − 6) = 4x² − 24x + x − 6 = 4x² − 23x − 6. The leading term is 4x², and its coefficient is nonzero, so the product has degree 2. It is therefore a quadratic polynomial, not a linear polynomial, making option D correct. Option A would describe a genuinely linear polynomial. Options B and C are also incorrect because the result contains x² and is neither a constant nor identically zero.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Degree of a Polynomial.
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