After simplifying (9x^7-4x^7+5x^3-2), what is the degree?
Answer and explanation
Correct answer: 7
Combining like terms gives \(9x^7-4x^7=5x^7\). Thus, the simplified polynomial is \(5x^7+5x^3-2\). The highest power of \(x\) is \(7\), so its degree is 7. Option 5 is the coefficient of \(x^7\), not the degree. Exam tip: simplify like terms first, then identify the greatest exponent with a non-zero coefficient.
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
Combining like terms gives \(9x^7-4x^7=5x^7\). Thus, the simplified polynomial is \(5x^7+5x^3-2\). The highest power of \(x\) is \(7\), so its degree is 7. Option 5 is the coefficient of \(x^7\), not the degree. Exam tip: simplify like terms first, then identify the greatest exponent with a non-zero coefficient.
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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