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Which formula is correct for the zero of the linear polynomial (ax+b)?

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Answer and explanation

Correct answer: \(-\frac{b}{a}\)

To find the zero of the linear polynomial \(ax+b\), set \(ax+b=0\). Then \(ax=-b\), so \(x=-\frac{b}{a}\), where \(a\ne0\). The option \(\frac{b}{a}\) misses the negative sign, so it is incorrect. Exam tip: remember that the zero of \(ax+b\) is \(-\frac{b}{a}\).

Related tags

PolynomialsLinear PolynomialsZero Of PolynomialAlgebraClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

\(-\frac{b}{a}\)

Why is this the correct answer?

To find the zero of the linear polynomial \(ax+b\), set \(ax+b=0\). Then \(ax=-b\), so \(x=-\frac{b}{a}\), where \(a\ne0\). The option \(\frac{b}{a}\) misses the negative sign, so it is incorrect. Exam tip: remember that the zero of \(ax+b\) is \(-\frac{b}{a}\).

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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