After simplifying (8x^3-8x^3+4x^2-1), what will be the degree?
Answer and explanation
Correct answer: 2
Here, 8x^3 and -8x^3 are opposite like terms, so they cancel to 0. The simplified polynomial is 4x^2-1. The highest power of x in it is 2, so its degree is 2. It is not degree 3 because the x^3 terms have cancelled. Exam tip: Always simplify by combining like terms before finding the degree of a polynomial.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
Here, 8x^3 and -8x^3 are opposite like terms, so they cancel to 0. The simplified polynomial is 4x^2-1. The highest power of x in it is 2, so its degree is 2. It is not degree 3 because the x^3 terms have cancelled. Exam tip: Always simplify by combining like terms before finding the degree of a polynomial.
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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