Which option has zero \(\frac{5}{4}\) for a linear polynomial?
Answer and explanation
Correct answer: \(4x-5\)
A zero of a polynomial is a value of x that makes the polynomial equal to 0. Substituting \(x=\frac{5}{4}\) in \(4x-5\) gives \(4\times\frac{5}{4}-5=5-5=0\). Hence, \(4x-5\) has zero \(\frac{5}{4}\). The closest distractor, \(4x+5\), has zero \(-\frac{5}{4}\). Exam tip: the zero of \(ax+b\) is \(-\frac{b}{a}\).
Frequently asked questions
What is the correct answer to this question?
\(4x-5\)
Why is this the correct answer?
A zero of a polynomial is a value of x that makes the polynomial equal to 0. Substituting \(x=\frac{5}{4}\) in \(4x-5\) gives \(4\times\frac{5}{4}-5=5-5=0\). Hence, \(4x-5\) has zero \(\frac{5}{4}\). The closest distractor, \(4x+5\), has zero \(-\frac{5}{4}\). 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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