For which value will ((m-8)x+6) not remain a linear polynomial?
Answer and explanation
Correct answer: \(m=8\)
In a linear polynomial, the coefficient of \(x\) must be non-zero. Substituting \(m=8\) gives \(m-8=0\), so the expression becomes \(0x+6=6\). This is a constant polynomial, not a linear polynomial. For example, when \(m=7\), the coefficient of \(x\) is \(-1\), so it is still linear. Exam tip: a linear polynomial has highest power 1 with a non-zero coefficient of the variable.
Frequently asked questions
What is the correct answer to this question?
\(m=8\)
Why is this the correct answer?
In a linear polynomial, the coefficient of \(x\) must be non-zero. Substituting \(m=8\) gives \(m-8=0\), so the expression becomes \(0x+6=6\). This is a constant polynomial, not a linear polynomial. For example, when \(m=7\), the coefficient of \(x\) is \(-1\), so it is still linear. Exam tip: a linear polynomial has highest power 1 with a non-zero coefficient of the variable.
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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