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Which option has a linear polynomial whose leading coefficient is not (0)?

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Answer and explanation

Correct answer: \(5x+0\)

In \(5x+0=5x\), the coefficient of \(x\) is \(5\), which is non-zero. Therefore, its degree is 1 and it is a linear polynomial. \(0x+9\) and \(0x-3\) simplify to \(9\) and \(-3\), so they are constant polynomials; \(7\) is also constant. Exam tip: for a linear polynomial, the coefficient of the variable must be non-zero.

Related tags

PolynomialsLinear PolynomialsLeading CoefficientDegree Of PolynomialConstant Polynomial

Frequently asked questions

What is the correct answer to this question?

\(5x+0\)

Why is this the correct answer?

In \(5x+0=5x\), the coefficient of \(x\) is \(5\), which is non-zero. Therefore, its degree is 1 and it is a linear polynomial. \(0x+9\) and \(0x-3\) simplify to \(9\) and \(-3\), so they are constant polynomials; \(7\) is also constant. Exam tip: for a linear polynomial, the coefficient of the variable must be 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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