Which option has a linear polynomial whose leading coefficient is non-zero?
Answer and explanation
Correct answer: 7x
A linear polynomial has the form \(ax+b\), where \(a\ne 0\). In \(7x\), the coefficient of \(x\) is 7, which is non-zero; hence it is a linear polynomial with leading coefficient 7. \(12\) and \(-5\) are constant polynomials, while 0 is the zero polynomial; none has an \(x\)-term. Exam tip: To identify a linear polynomial, check that the highest power of \(x\) is 1 and its coefficient is non-zero.
Frequently asked questions
What is the correct answer to this question?
7x
Why is this the correct answer?
A linear polynomial has the form \(ax+b\), where \(a\ne 0\). In \(7x\), the coefficient of \(x\) is 7, which is non-zero; hence it is a linear polynomial with leading coefficient 7. \(12\) and \(-5\) are constant polynomials, while 0 is the zero polynomial; none has an \(x\)-term. Exam tip: To identify a linear polynomial, check that the highest power of \(x\) is 1 and its coefficient is non-zero.
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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