What is the degree of (12x^7+0x^9-5)?
Answer and explanation
Correct answer: 7
A term with coefficient zero does not contribute to the degree of a polynomial. Here, \(0x^9=0\), so the polynomial becomes \(12x^7-5\). Its highest power with a non-zero coefficient is \(7\); therefore, its degree is 7. Option 9 is incorrect because the coefficient of \(x^9\) is zero. Exam tip: First remove all zero-coefficient terms before finding the degree.
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
A term with coefficient zero does not contribute to the degree of a polynomial. Here, \(0x^9=0\), so the polynomial becomes \(12x^7-5\). Its highest power with a non-zero coefficient is \(7\); therefore, its degree is 7. Option 9 is incorrect because the coefficient of \(x^9\) is zero. Exam tip: First remove all zero-coefficient terms before finding the degree.
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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