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What is the degree of (15x^6+0x^8-4)?

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Answer and explanation

Correct answer: 6

A term with coefficient 0 is a zero term, so it is not considered while finding the degree of a polynomial. Here, 0x^8 is a zero term; the remaining terms are 15x^6 and -4. The highest power of x among these terms is 6, so the degree is 6. Option 8 is a close distractor, but 0x^8 must not be counted. Exam tip: First remove all terms with zero coefficients before identifying the highest exponent.

Related tags

PolynomialsDegree Of PolynomialZero CoefficientClass 9 MathematicsAlgebra

Frequently asked questions

What is the correct answer to this question?

6

Why is this the correct answer?

A term with coefficient 0 is a zero term, so it is not considered while finding the degree of a polynomial. Here, 0x^8 is a zero term; the remaining terms are 15x^6 and -4. The highest power of x among these terms is 6, so the degree is 6. Option 8 is a close distractor, but 0x^8 must not be counted. Exam tip: First remove all terms with zero coefficients before identifying the highest exponent.

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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