After simplifying (x^6+x^6+x^2), what will be the degree?
Answer and explanation
Correct answer: 6
Combining like terms gives \(x^6+x^6+x^2=2x^6+x^2\). The highest power of \(x\) in this polynomial is 6, so its degree is 6. It is not 8 or 12, because the degree is found from the highest exponent in the simplified polynomial, not by adding exponents. Exam tip: simplify like terms first, then identify the greatest exponent with a non-zero coefficient.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
Combining like terms gives \(x^6+x^6+x^2=2x^6+x^2\). The highest power of \(x\) in this polynomial is 6, so its degree is 6. It is not 8 or 12, because the degree is found from the highest exponent in the simplified polynomial, not by adding exponents. Exam tip: simplify like terms first, then identify the greatest 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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