After simplifying (3x^3-3x^3+8x^2-1), what will be the degree?
Answer and explanation
Correct answer: 2
The like terms 3x^3 and -3x^3 cancel each other. Therefore, the simplified polynomial is 8x^2-1. The highest exponent of x in it is 2, so its degree is 2. The term with exponent 3 does not remain after simplification, so the degree is not 3. Exam tip: Always simplify a polynomial by combining like terms before finding its degree.
Frequently asked questions
What is the correct answer to this question?
2
Why is this the correct answer?
The like terms 3x^3 and -3x^3 cancel each other. Therefore, the simplified polynomial is 8x^2-1. The highest exponent of x in it is 2, so its degree is 2. The term with exponent 3 does not remain after simplification, so the degree is not 3. 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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