Which formula gives the zero of the linear polynomial (ax+b)?
Answer and explanation
Correct answer: \(-\frac{b}{a}\)
To find the zero of a linear polynomial, set \(ax+b=0\). Then \(ax=-b\), so \(x=-\frac{b}{a}\), where \(a\ne0\) is necessary. The expression \(\frac{b}{a}\) misses the negative sign, so it is not the correct zero. Exam tip: Substitute the obtained value in \(ax+b\); it must give 0.
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 a linear polynomial, set \(ax+b=0\). Then \(ax=-b\), so \(x=-\frac{b}{a}\), where \(a\ne0\) is necessary. The expression \(\frac{b}{a}\) misses the negative sign, so it is not the correct zero. Exam tip: Substitute the obtained value in \(ax+b\); it must give 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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