For which value will ((m+4)x-9) not remain a linear polynomial?
Answer and explanation
Correct answer: \(m=-4\)
For a polynomial to be linear, the coefficient of \(x\) must be non-zero. Here, the coefficient of \(x\) is \(m+4\). When \(m=-4\), \(m+4=0\), so the expression becomes \(-9\), a constant polynomial rather than a linear polynomial. For example, when \(m=0\), the coefficient is \(4\), so the polynomial is still linear. Exam tip: In parameter-based linear polynomials, set the coefficient of the variable equal to zero to find when it stops being linear.
Frequently asked questions
What is the correct answer to this question?
\(m=-4\)
Why is this the correct answer?
For a polynomial to be linear, the coefficient of \(x\) must be non-zero. Here, the coefficient of \(x\) is \(m+4\). When \(m=-4\), \(m+4=0\), so the expression becomes \(-9\), a constant polynomial rather than a linear polynomial. For example, when \(m=0\), the coefficient is \(4\), so the polynomial is still linear. Exam tip: In parameter-based linear polynomials, set the coefficient of the variable equal to zero to find when it stops being linear.
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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