For which value will ((3a-6)x+1) not remain linear?
Answer and explanation
Correct answer: \(a=2\)
The expression \((3a-6)x+1\) is linear only when the coefficient of \(x\) is non-zero. For it to stop being linear, \(3a-6=0\). Thus, \(3a=6\), so \(a=2\). At this value, the expression becomes \(1\), a constant polynomial rather than a linear polynomial. Exam tip: In parameter-based polynomials, set the coefficient of the highest-degree term equal to zero to find when the degree changes.
Frequently asked questions
What is the correct answer to this question?
\(a=2\)
Why is this the correct answer?
The expression \((3a-6)x+1\) is linear only when the coefficient of \(x\) is non-zero. For it to stop being linear, \(3a-6=0\). Thus, \(3a=6\), so \(a=2\). At this value, the expression becomes \(1\), a constant polynomial rather than a linear polynomial. Exam tip: In parameter-based polynomials, set the coefficient of the highest-degree term equal to zero to find when the degree changes.
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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