From what will the degree of (7x^3+2x^2-5x+12) be obtained?
Answer and explanation
Correct answer: the highest exponent of x, 3
The degree of a polynomial is the greatest exponent of its variable with a non-zero coefficient. In the given polynomial, the powers of x are 3, 2, and 1, while the constant term has power 0. Hence, the greatest power is 3, so the degree is 3. Although 7 is the largest coefficient, it does not determine the degree. Exam tip: simplify the polynomial first, then identify the highest power of the variable.
Frequently asked questions
What is the correct answer to this question?
the highest exponent of x, 3
Why is this the correct answer?
The degree of a polynomial is the greatest exponent of its variable with a non-zero coefficient. In the given polynomial, the powers of x are 3, 2, and 1, while the constant term has power 0. Hence, the greatest power is 3, so the degree is 3. Although 7 is the largest coefficient, it does not determine the degree. Exam tip: simplify the polynomial first, then identify the highest power of the variable.
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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