If (f(x)=3x^6-8x^6+4x^2-7), what is the degree of (f(x))?
Answer and explanation
Correct answer: 6
Combining like terms gives 3x^6-8x^6=-5x^6. Thus, f(x)=-5x^6+4x^2-7. The highest power of x is 6, and its coefficient, -5, is non-zero; therefore, the degree of the polynomial is 6. Option 2 is the power of another term, not the highest power. Exam tip: Always simplify like terms before finding the degree.
Frequently asked questions
What is the correct answer to this question?
6
Why is this the correct answer?
Combining like terms gives 3x^6-8x^6=-5x^6. Thus, f(x)=-5x^6+4x^2-7. The highest power of x is 6, and its coefficient, -5, is non-zero; therefore, the degree of the polynomial is 6. Option 2 is the power of another term, not the highest power. Exam tip: Always simplify like terms before finding the 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.
