What is the degree of 0x^12 + 0x^7 + 0x + 37?
Answer and explanation
Correct answer: 0
The governing rule is to simplify a polynomial by removing every term whose coefficient is zero before identifying the highest power. Here 0x^12, 0x^7, and 0x are all zero terms. After they disappear, the expression becomes simply 37. Since 37 is a non-zero constant, its polynomial degree is 0, making option D correct. Option A and option B incorrectly retain the exponents of zero terms, even though those terms have no effect on the expression. Option C similarly treats 0x as a genuine linear term, but its coefficient is zero, so it vanishes. The result is not the zero polynomial because 37 remains; this is why the degree is defined as 0 rather than being treated as undefined.
Frequently asked questions
What is the correct answer to this question?
0
Why is this the correct answer?
The governing rule is to simplify a polynomial by removing every term whose coefficient is zero before identifying the highest power. Here 0x^12, 0x^7, and 0x are all zero terms. After they disappear, the expression becomes simply 37. Since 37 is a non-zero constant, its polynomial degree is 0, making option D correct. Option A and option B incorrectly retain the exponents of zero terms, even though those terms have no effect on the expression. Option C similarly treats 0x as a genuine linear term, but its coefficient is zero, so it vanishes. The result is not the zero polynomial because 37 remains; this is why the degree is defined as 0 rather than being treated as undefined.
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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