After simplifying (5x^5-5x^5+6x^3+2), what will be the degree?
Answer and explanation
Correct answer: 3
The like terms 5x^5 and -5x^5 cancel each other. The simplified polynomial is 6x^3+2. The highest power of x in it is 3, so its degree is 3. Although 5 appears in the original expression, its terms cancel and therefore it does not determine the degree. Exam tip: Always simplify a polynomial before finding its degree.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
The like terms 5x^5 and -5x^5 cancel each other. The simplified polynomial is 6x^3+2. The highest power of x in it is 3, so its degree is 3. Although 5 appears in the original expression, its terms cancel and therefore it does not determine the degree. Exam tip: Always simplify a polynomial 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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