For which value will ((m+4)x-9) not remain a linear polynomial?

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.