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Which linear polynomial is in the form (ax)?

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Answer and explanation

Correct answer: \(7x\)

A linear polynomial of the form \(ax\) has a non-zero coefficient of \(x\) and no constant term. In \(7x\), \(a=7\) and the constant term is \(0\), so it is of the form \(ax\). Although \(7x+1\) is also linear, it has the constant term \(1\). Exam tip: In \(ax+b\), the polynomial is of the form \(ax\) only when \(b=0\).

Related tags

PolynomialsLinear PolynomialsStandard FormConstant TermAlgebra

Frequently asked questions

What is the correct answer to this question?

\(7x\)

Why is this the correct answer?

A linear polynomial of the form \(ax\) has a non-zero coefficient of \(x\) and no constant term. In \(7x\), \(a=7\) and the constant term is \(0\), so it is of the form \(ax\). Although \(7x+1\) is also linear, it has the constant term \(1\). Exam tip: In \(ax+b\), the polynomial is of the form \(ax\) only when \(b=0\).

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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