From what will the degree of (9x^3+5x^2-6x+20) be obtained?
Answer and explanation
Correct answer: Highest power (3)
The degree of a polynomial in one variable is the greatest power of the variable with a non-zero coefficient. Here, the powers of x are 3, 2, 1 and 0; the highest power is 3, so the polynomial has degree 3. Although 9 is the largest coefficient and 20 is the constant term, neither determines the degree. Exam tip: identify the greatest exponent of the variable after writing the polynomial in standard form.
Frequently asked questions
What is the correct answer to this question?
Highest power (3)
Why is this the correct answer?
The degree of a polynomial in one variable is the greatest power of the variable with a non-zero coefficient. Here, the powers of x are 3, 2, 1 and 0; the highest power is 3, so the polynomial has degree 3. Although 9 is the largest coefficient and 20 is the constant term, neither determines the degree. Exam tip: identify the greatest exponent of the variable after writing the polynomial in standard form.
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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