After simplifying (5x^3-2x^3+6x-1), what will be the degree?
Answer and explanation
Correct answer: 3
Combining like terms gives 5x^3-2x^3=3x^3. Thus, the simplified polynomial is 3x^3+6x-1. The highest exponent of x is 3, so its degree is 3. In 6x, 6 is a coefficient, not an exponent; therefore, 6 cannot be the degree. Exam tip: Simplify a polynomial first, especially when leading terms may combine or cancel, before finding its degree.
Frequently asked questions
What is the correct answer to this question?
3
Why is this the correct answer?
Combining like terms gives 5x^3-2x^3=3x^3. Thus, the simplified polynomial is 3x^3+6x-1. The highest exponent of x is 3, so its degree is 3. In 6x, 6 is a coefficient, not an exponent; therefore, 6 cannot be the degree. Exam tip: Simplify a polynomial first, especially when leading terms may combine or cancel, 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.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
