What is the degree of the polynomial (0x^5+7x^4-3x+2)?
Answer and explanation
Correct answer: 4
The coefficient of \(0x^5\) is zero, so this term does not contribute to the degree of the polynomial. In the remaining polynomial \(7x^4-3x+2\), the highest power of \(x\) is 4; therefore, its degree is 4. Option 5 is incorrect because the \(x^5\) term is actually zero. Exam tip: Remove terms with zero coefficients before finding the degree.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
The coefficient of \(0x^5\) is zero, so this term does not contribute to the degree of the polynomial. In the remaining polynomial \(7x^4-3x+2\), the highest power of \(x\) is 4; therefore, its degree is 4. Option 5 is incorrect because the \(x^5\) term is actually zero. Exam tip: Remove terms with zero coefficients 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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