After simplifying (3x^4+8x^4-2x+1), what will be the degree?
Answer and explanation
Correct answer: 4
Combining like terms gives 3x^4+8x^4=11x^4. Therefore, the simplified polynomial is 11x^4-2x+1. The highest power of x is 4, so its degree is 4. Here, 11 is a coefficient, not the degree. Exam tip: Simplify the polynomial first, then identify the highest exponent of the variable.
Frequently asked questions
What is the correct answer to this question?
4
Why is this the correct answer?
Combining like terms gives 3x^4+8x^4=11x^4. Therefore, the simplified polynomial is 11x^4-2x+1. The highest power of x is 4, so its degree is 4. Here, 11 is a coefficient, not the degree. Exam tip: Simplify the polynomial first, then identify the highest exponent of the variable.
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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