After simplifying (x^5+x^5+x^2), what will be the degree?
Answer and explanation
Correct answer: 5
Combining like terms gives \(x^5+x^5=2x^5\), so the simplified polynomial is \(2x^5+x^2\). The highest power of \(x\) is 5; therefore, its degree is 5. Adding the coefficients of \(x^5\) does not make the exponent 10. Exam tip: First simplify like terms, then identify the highest exponent to find the degree.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
Combining like terms gives \(x^5+x^5=2x^5\), so the simplified polynomial is \(2x^5+x^2\). The highest power of \(x\) is 5; therefore, its degree is 5. Adding the coefficients of \(x^5\) does not make the exponent 10. Exam tip: First simplify like terms, then identify the highest exponent to find 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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