After simplifying (x^4+x^4+x^2), what will be the degree?
Answer and explanation
Correct answer: 4
Combining the like terms gives x^4+x^4=2x^4. Thus, the simplified polynomial is 2x^4+x^2. Its highest-power term with a non-zero coefficient is 2x^4, so the degree is 4. Although x^2 has degree 2, it is not the highest degree term. Exam tip: Simplify a polynomial first, then identify the greatest exponent among its non-zero terms.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
Combining the like terms gives x^4+x^4=2x^4. Thus, the simplified polynomial is 2x^4+x^2. Its highest-power term with a non-zero coefficient is 2x^4, so the degree is 4. Although x^2 has degree 2, it is not the highest degree term. Exam tip: Simplify a polynomial first, then identify the greatest exponent among its non-zero terms.
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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