If \(r\neq0\), what will be the degree of \(rx^9+2x^4-3\)?
Answer and explanation
Correct answer: 9
The degree of a polynomial is the greatest exponent of the variable with a non-zero coefficient. Since \(r\neq0\), the term \(rx^9\) is non-zero. Hence, the highest exponent of \(x\) is \(9\), so the degree of the polynomial is \(9\). The number \(4\) is the degree of the term \(2x^4\), not of the entire polynomial. Exam tip: always check whether the coefficient of the highest-power term is zero.
Frequently asked questions
What is the correct answer to this question?
9
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of the variable with a non-zero coefficient. Since \(r\neq0\), the term \(rx^9\) is non-zero. Hence, the highest exponent of \(x\) is \(9\), so the degree of the polynomial is \(9\). The number \(4\) is the degree of the term \(2x^4\), not of the entire polynomial. Exam tip: always check whether the coefficient of the highest-power term is zero.
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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