What is the degree of (0x^{10}+3x^4-2x+7)?
Answer and explanation
Correct answer: 4
The coefficient of \(0x^{10}\) is 0, so it is not considered a non-zero term of the polynomial. Among the remaining terms, \(3x^4\) has the highest power, 4; therefore, the degree is 4. Choosing 10 would be incorrect because the coefficient of \(x^{10}\) is zero. Exam tip: To find the degree, look for the highest exponent with a non-zero coefficient.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
The coefficient of \(0x^{10}\) is 0, so it is not considered a non-zero term of the polynomial. Among the remaining terms, \(3x^4\) has the highest power, 4; therefore, the degree is 4. Choosing 10 would be incorrect because the coefficient of \(x^{10}\) is zero. Exam tip: To find the degree, look for the highest exponent with a non-zero coefficient.
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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