Which polynomial has degree (1)?
Answer and explanation
Correct answer: \(-12x+4\)
The degree of a polynomial is the greatest exponent of its variable with a non-zero coefficient. In \(-12x+4\), the highest exponent of \(x\) is \(1\), so its degree is \(1\). In contrast, \(7x^2+1\) has degree \(2\), while \(16\) is a constant polynomial of degree \(0\). Exam tip: identify the term with the highest power of the variable to find the degree quickly.
Frequently asked questions
What is the correct answer to this question?
\(-12x+4\)
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of its variable with a non-zero coefficient. In \(-12x+4\), the highest exponent of \(x\) is \(1\), so its degree is \(1\). In contrast, \(7x^2+1\) has degree \(2\), while \(16\) is a constant polynomial of degree \(0\). Exam tip: identify the term with the highest power of the variable to find the degree quickly.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Degree of a Polynomial.
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