What is the degree of (3x^4+0x^3+0x^2+8)?
Answer and explanation
Correct answer: 4
The degree of a polynomial is the highest power of the variable having a non-zero coefficient. Here, 0x^3 and 0x^2 are zero terms, so they do not affect the degree. In 3x^4, the power of x is 4; therefore, the degree is 4. The constant term 8 has degree 0. Exam tip: Ignore terms with zero coefficients before identifying the highest power.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
The degree of a polynomial is the highest power of the variable having a non-zero coefficient. Here, 0x^3 and 0x^2 are zero terms, so they do not affect the degree. In 3x^4, the power of x is 4; therefore, the degree is 4. The constant term 8 has degree 0. Exam tip: Ignore terms with zero coefficients before identifying the highest power.
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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