What will be the degree of (5x^6-2x^4+x+3)?
Answer and explanation
Correct answer: 6
The degree of a polynomial is the greatest exponent of the variable with a non-zero coefficient. Here, the exponents of the terms are 6, 4, 1, and 0. The greatest exponent is 6, so the degree of the polynomial is 6. Option 4 is a close distractor because it is the exponent of the second term, not the highest exponent. Exam tip: Simplify a polynomial first and ignore any terms whose coefficients become zero.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of the variable with a non-zero coefficient. Here, the exponents of the terms are 6, 4, 1, and 0. The greatest exponent is 6, so the degree of the polynomial is 6. Option 4 is a close distractor because it is the exponent of the second term, not the highest exponent. Exam tip: Simplify a polynomial first and ignore any terms whose coefficients become zero.
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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