After simplifying (2x^3+9x^3-4x+1), what will be the degree?
Answer and explanation
Correct answer: 3
Combining like terms gives 2x^3+9x^3=11x^3. Thus, the simplified polynomial is 11x^3-4x+1. The highest power of x is 3, so its degree is 3. Here, 11 is a coefficient, not the degree. Exam tip: First simplify the polynomial, then identify the highest exponent of the variable with a non-zero coefficient.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
Combining like terms gives 2x^3+9x^3=11x^3. Thus, the simplified polynomial is 11x^3-4x+1. The highest power of x is 3, so its degree is 3. Here, 11 is a coefficient, not the degree. Exam tip: First simplify the polynomial, then identify the highest exponent of the variable 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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