For which value will ((h-1)x+10) be a linear polynomial?
Answer and explanation
Correct answer: \(h \ne 1\)
For \((h-1)x+10\) to be linear, the coefficient of \(x\) must be non-zero. Thus, \(h-1\ne0\), so \(h\ne1\). If \(h=1\), the expression becomes \(10\), which is a constant polynomial, not a linear polynomial. Exam tip: In a linear polynomial, the highest power of the variable is 1 and its coefficient must be non-zero.
Frequently asked questions
What is the correct answer to this question?
\(h \ne 1\)
Why is this the correct answer?
For \((h-1)x+10\) to be linear, the coefficient of \(x\) must be non-zero. Thus, \(h-1\ne0\), so \(h\ne1\). If \(h=1\), the expression becomes \(10\), which is a constant polynomial, not a linear polynomial. Exam tip: In a linear polynomial, the highest power of the variable is 1 and its coefficient must be non-zero.
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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