For which value will ((k+4)x-7) be a linear polynomial?
Answer and explanation
Correct answer: k\ne-4
For a polynomial to be linear, the coefficient of x must be non-zero. Here, the coefficient of x is k+4. Therefore, k+4\ne0, so k\ne-4. At k=-4, the expression becomes -7, which is a constant polynomial, not a linear polynomial. Exam tip: In a polynomial with a parameter, first check whether the coefficient of the highest-degree term is zero.
Frequently asked questions
What is the correct answer to this question?
k\ne-4
Why is this the correct answer?
For a polynomial to be linear, the coefficient of x must be non-zero. Here, the coefficient of x is k+4. Therefore, k+4\ne0, so k\ne-4. At k=-4, the expression becomes -7, which is a constant polynomial, not a linear polynomial. Exam tip: In a polynomial with a parameter, first check whether the coefficient of the highest-degree term is zero.
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.
