For which value will ((m-2)x+5) not remain a linear polynomial?
Answer and explanation
Correct answer: \(m=2\)
For \((m-2)x+5\) to be linear, the coefficient of \(x\), namely \(m-2\), must be non-zero. On putting \(m=2\), we get \(m-2=0\), so the expression becomes \(5\), a constant polynomial rather than a linear polynomial. For the other given values, the coefficient of \(x\) is non-zero. Exam tip: a linear polynomial must have highest power of the variable equal to 1.
Frequently asked questions
What is the correct answer to this question?
\(m=2\)
Why is this the correct answer?
For \((m-2)x+5\) to be linear, the coefficient of \(x\), namely \(m-2\), must be non-zero. On putting \(m=2\), we get \(m-2=0\), so the expression becomes \(5\), a constant polynomial rather than a linear polynomial. For the other given values, the coefficient of \(x\) is non-zero. Exam tip: a linear polynomial must have highest power of the variable equal to 1.
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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