What is the degree of the polynomial (7x^4-3x^2+5)?
Answer and explanation
Correct answer: 4
In \(7x^4-3x^2+5\), the powers of \(x\) are 4, 2, and 0. The greatest exponent of a term with a non-zero coefficient is 4, so the degree is 4. The number \(7\) is only the coefficient of \(x^4\), not the degree. Exam tip: simplify like terms first, then identify the highest exponent.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
In \(7x^4-3x^2+5\), the powers of \(x\) are 4, 2, and 0. The greatest exponent of a term with a non-zero coefficient is 4, so the degree is 4. The number \(7\) is only the coefficient of \(x^4\), not the degree. Exam tip: simplify like terms first, then identify the highest exponent.
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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