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 linear polynomial has highest power of the variable equal to 1. Expand the given product: (4x+1)(x−6) = 4x² − 24x + x − 6 = 4x² − 23x − 6. The leading term is 4x², whose exponent is 2, and its coefficient is nonzero, so the product has degree 2. It is therefore quadratic, not linear, making option D correct. Option A describes a linear polynomial, while options B and C incorrectly claim that the expression is constant or identically zero.
Frequently asked questions
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 linear polynomial has highest power of the variable equal to 1. Expand the given product: (4x+1)(x−6) = 4x² − 24x + x − 6 = 4x² − 23x − 6. The leading term is 4x², whose exponent is 2, and its coefficient is nonzero, so the product has degree 2. It is therefore quadratic, not linear, making option D correct. Option A describes a linear polynomial, while options B and C incorrectly claim that the expression is constant or 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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