For which value will ((r+11)x+4) not remain a linear polynomial?
Answer and explanation
Correct answer: \(r=-11\)
For \((r+11)x+4\) to be a linear polynomial, the coefficient of \(x\), namely \(r+11\), must be non-zero. When \(r=-11\), \(r+11=0\), so the polynomial becomes \(4\), which has degree 0 and is not linear. For all the other given values, the coefficient of \(x\) is non-zero. Exam tip: In parameter-based linear-polynomial questions, set the coefficient of \(x\) equal to zero first.
Frequently asked questions
What is the correct answer to this question?
\(r=-11\)
Why is this the correct answer?
For \((r+11)x+4\) to be a linear polynomial, the coefficient of \(x\), namely \(r+11\), must be non-zero. When \(r=-11\), \(r+11=0\), so the polynomial becomes \(4\), which has degree 0 and is not linear. For all the other given values, the coefficient of \(x\) is non-zero. Exam tip: In parameter-based linear-polynomial questions, set the coefficient of \(x\) equal to zero first.
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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