For which value will ((4a+8)x-5) not remain linear?
Answer and explanation
Correct answer: \(a=-2\)
The expression \((4a+8)x-5\) is linear only when the coefficient of \(x\) is non-zero. For it to stop being linear, \(4a+8=0\), which gives \(a=-2\). At this value, the expression becomes \(-5\), a constant polynomial rather than a linear polynomial. For example, at \(a=0\), the coefficient of \(x\) is \(8\), so it is still linear. Exam tip: in a parameter-based linear polynomial, set the coefficient of the variable equal to zero to test when it is no longer linear.
Frequently asked questions
What is the correct answer to this question?
\(a=-2\)
Why is this the correct answer?
The expression \((4a+8)x-5\) is linear only when the coefficient of \(x\) is non-zero. For it to stop being linear, \(4a+8=0\), which gives \(a=-2\). At this value, the expression becomes \(-5\), a constant polynomial rather than a linear polynomial. For example, at \(a=0\), the coefficient of \(x\) is \(8\), so it is still linear. Exam tip: in a parameter-based linear polynomial, set the coefficient of the variable equal to zero to test when it is no longer linear.
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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