After simplifying (6x^5+6x^5-3x+8), what will be the degree?
Answer and explanation
Correct answer: 5
Combining like terms gives \(6x^5+6x^5=12x^5\). Thus, the simplified polynomial is \(12x^5-3x+8\). The highest power of \(x\) is 5, so its degree is 5. Here, 12 is a coefficient, not an exponent, so 12 cannot be the degree. Exam tip: simplify the polynomial first, then identify the greatest exponent of the variable in a non-zero term.
Frequently asked questions
What is the correct answer to this question?
5
Why is this the correct answer?
Combining like terms gives \(6x^5+6x^5=12x^5\). Thus, the simplified polynomial is \(12x^5-3x+8\). The highest power of \(x\) is 5, so its degree is 5. Here, 12 is a coefficient, not an exponent, so 12 cannot be the degree. Exam tip: simplify the polynomial first, then identify the greatest exponent of the variable in a non-zero term.
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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