For which value will ((2a+1)x-4) not remain linear?
Answer and explanation
Correct answer: \(a=-\frac{1}{2}\)
For \((2a+1)x-4\) to be a linear polynomial, the coefficient of \(x\) must not be zero. It will cease to be linear when \(2a+1=0\). Hence, \(a=-\frac{1}{2}\), and the expression becomes \(-4\), a constant polynomial rather than a linear polynomial. For example, at \(a=0\), the coefficient of \(x\) is 1, so it is still linear. Exam tip: In a parameter-based linear polynomial, set the coefficient of the variable equal to zero to find when it is not linear.
Frequently asked questions
What is the correct answer to this question?
\(a=-\frac{1}{2}\)
Why is this the correct answer?
For \((2a+1)x-4\) to be a linear polynomial, the coefficient of \(x\) must not be zero. It will cease to be linear when \(2a+1=0\). Hence, \(a=-\frac{1}{2}\), and the expression becomes \(-4\), a constant polynomial rather than a linear polynomial. For example, at \(a=0\), the coefficient of \(x\) is 1, so it is still linear. Exam tip: In a parameter-based linear polynomial, set the coefficient of the variable equal to zero to find when it is not linear.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear polynomials.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
