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After simplifying (9x^6-9x^6+5x^2+1), what will be the degree?

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Answer and explanation

Correct answer: 2

On simplification, the like terms 9x^6 and -9x^6 cancel each other. The polynomial left is 5x^2+1. The highest power of x in it is 2, so its degree is 2. Option 6 is incorrect because the x^6 term does not remain after simplification. Exam tip: Always simplify a polynomial by combining like terms before finding its degree.

Related tags

PolynomialsDegree Of PolynomialSimplificationLike TermsClass 9 Mathematics

Frequently asked questions

What is the correct answer to this question?

2

Why is this the correct answer?

On simplification, the like terms 9x^6 and -9x^6 cancel each other. The polynomial left is 5x^2+1. The highest power of x in it is 2, so its degree is 2. Option 6 is incorrect because the x^6 term does not remain after simplification. Exam tip: Always simplify a polynomial by combining like terms before finding its 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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