Which polynomial does not have degree (4)?
Answer and explanation
Correct answer: \(6x^3+4\)
The degree of a polynomial is the greatest exponent of its variable with a non-zero coefficient. In \(6x^3+4\), the highest power of \(x\) is \(3\), so its degree is \(3\), not \(4\). In contrast, \(x^4+1\), \(5x^4-2x\), and \(9x^4+x^2\) each contain an \(x^4\) term, so each has degree \(4\). Exam tip: To find the degree, identify the highest exponent of the variable.
Frequently asked questions
What is the correct answer to this question?
\(6x^3+4\)
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of its variable with a non-zero coefficient. In \(6x^3+4\), the highest power of \(x\) is \(3\), so its degree is \(3\), not \(4\). In contrast, \(x^4+1\), \(5x^4-2x\), and \(9x^4+x^2\) each contain an \(x^4\) term, so each has degree \(4\). Exam tip: To find the degree, identify the highest exponent of the variable.
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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