Which option is a linear polynomial with leading coefficient 6 and constant term 0?
Answer and explanation
Correct answer: 6x
A linear polynomial has degree 1 and can be written as ax+b, where a is nonzero. In 6x, the coefficient of x is 6, so the leading coefficient is 6, and there is no constant term, meaning b=0. Thus option A satisfies both conditions. x+6 has the wrong leading coefficient, 6 is constant, and 6x+1 has constant term 1.
Frequently asked questions
What is the correct answer to this question?
6x
Why is this the correct answer?
A linear polynomial has degree 1 and can be written as ax+b, where a is nonzero. In 6x, the coefficient of x is 6, so the leading coefficient is 6, and there is no constant term, meaning b=0. Thus option A satisfies both conditions. x+6 has the wrong leading coefficient, 6 is constant, and 6x+1 has constant term 1.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear polynomials.
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