Which option has zero \(\frac{3}{2}\) for a linear polynomial?
Answer and explanation
Correct answer: \(2x-3\)
A zero of a linear polynomial is a value of x that makes the polynomial equal to 0. On substituting \(x=\frac{3}{2}\), \(2x-3=2\left(\frac{3}{2}\right)-3=0\); hence option B is correct. Option C, \(3x-2\), has zero \(\frac{2}{3}\), not \(\frac{3}{2}\). Exam tip: the zero of \(ax+b\) is \(-\frac{b}{a}\).
Frequently asked questions
What is the correct answer to this question?
\(2x-3\)
Why is this the correct answer?
A zero of a linear polynomial is a value of x that makes the polynomial equal to 0. On substituting \(x=\frac{3}{2}\), \(2x-3=2\left(\frac{3}{2}\right)-3=0\); hence option B is correct. Option C, \(3x-2\), has zero \(\frac{2}{3}\), not \(\frac{3}{2}\). 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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