For which value will ((k+9)x-1) be a linear polynomial?
Answer and explanation
Correct answer: \(k\ne -9\)
For a polynomial to be linear, the coefficient of \(x\) must be non-zero. Here, the coefficient of \(x\) is \(k+9\). Thus, \(k+9\ne0\), or \(k\ne-9\), makes the expression a linear polynomial. If \(k=-9\), the expression becomes \(-1\), which is a constant polynomial, not a linear one. Exam tip: in \(ax+b\), always check that \(a\ne0\).
Frequently asked questions
What is the correct answer to this question?
\(k\ne -9\)
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 \(k+9\). Thus, \(k+9\ne0\), or \(k\ne-9\), makes the expression a linear polynomial. If \(k=-9\), the expression becomes \(-1\), which is a constant polynomial, not a linear one. Exam tip: in \(ax+b\), always check that \(a\ne0\).
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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