What is the degree of (x^5(2x^2-3)+4x^4)?
Answer and explanation
Correct answer: 7
Expanding the expression gives \(x^5(2x^2-3)+4x^4=2x^7-3x^5+4x^4\). The degree of a polynomial is the greatest exponent of the variable with a non-zero coefficient. Here, the greatest exponent is \(7\), so the degree is \(7\). Option \(5\) is only the exponent in one term, not the degree of the whole polynomial. Exam tip: Expand the brackets first, then identify the highest power.
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
Expanding the expression gives \(x^5(2x^2-3)+4x^4=2x^7-3x^5+4x^4\). The degree of a polynomial is the greatest exponent of the variable with a non-zero coefficient. Here, the greatest exponent is \(7\), so the degree is \(7\). Option \(5\) is only the exponent in one term, not the degree of the whole polynomial. Exam tip: Expand the brackets first, then identify the highest power.
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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