Which option has zero \(\frac{4}{3}\) for a linear polynomial?
Answer and explanation
Correct answer: \(3x-4\)
A zero of a linear polynomial is the value of x for which the polynomial becomes 0. Substituting \(x=\frac{4}{3}\) in \(3x-4\) gives \(3\times\frac{4}{3}-4=0\). Hence, \(3x-4\) has zero \(\frac{4}{3}\). The close distractor \(4x-3\) has zero \(\frac{3}{4}\), not \(\frac{4}{3}\). Exam tip: the zero of \(ax+b\) is \(-\frac{b}{a}\).
Frequently asked questions
What is the correct answer to this question?
\(3x-4\)
Why is this the correct answer?
A zero of a linear polynomial is the value of x for which the polynomial becomes 0. Substituting \(x=\frac{4}{3}\) in \(3x-4\) gives \(3\times\frac{4}{3}-4=0\). Hence, \(3x-4\) has zero \(\frac{4}{3}\). The close distractor \(4x-3\) has zero \(\frac{3}{4}\), not \(\frac{4}{3}\). Exam tip: 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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