If \(a\ne 0\), which statement is correct about \(ax+b\)?
Answer and explanation
Correct answer: It is a linear polynomial
Since \(a\ne 0\), the term \(ax\) is definitely present, so the highest power of \(x\) in \(ax+b\) is \(1\). Therefore, it is a linear polynomial. It cannot be constant because the coefficient of \(x\) is non-zero, and its degree is not \(2\). Exam tip: a polynomial whose highest power of the variable is \(1\) is called a linear polynomial.
Frequently asked questions
What is the correct answer to this question?
It is a linear polynomial
Why is this the correct answer?
Since \(a\ne 0\), the term \(ax\) is definitely present, so the highest power of \(x\) in \(ax+b\) is \(1\). Therefore, it is a linear polynomial. It cannot be constant because the coefficient of \(x\) is non-zero, and its degree is not \(2\). Exam tip: a polynomial whose highest power of the variable is \(1\) is called a linear polynomial.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.
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