If the degree of (5x^n+4x^6-2) is (11) and (n>6), what is (n)?
Answer and explanation
Correct answer: 11
The degree of a polynomial is the greatest exponent of the variable among terms with non-zero coefficients. Since n>6, the exponent in 5x^n is greater than 6, so it is the highest exponent. Hence, the degree of the polynomial is n. Given that the degree is 11, n=11. Option 6 is incorrect because x^6 is only the term with the next lower exponent. Exam tip: identify the highest exponent first and check that its coefficient is non-zero.
Frequently asked questions
What is the correct answer to this question?
11
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of the variable among terms with non-zero coefficients. Since n>6, the exponent in 5x^n is greater than 6, so it is the highest exponent. Hence, the degree of the polynomial is n. Given that the degree is 11, n=11. Option 6 is incorrect because x^6 is only the term with the next lower exponent. Exam tip: identify the highest exponent first and check that its coefficient is non-zero.
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.
