What is the constant term in p(x) = 7x²?
Answer and explanation
Correct answer: 0
A constant term is a term independent of the variable x; equivalently, it is the coefficient of x⁰. The polynomial p(x) = 7x² contains only the term 7x², whose degree is 2. There is no separately written term without x, so we may write the polynomial as 7x² + 0. Hence its constant term is 0. The number 7 is the coefficient of x², not the constant term, and 2 is the exponent of x rather than a term. The value 1 has no role here. Substituting x = 0 also confirms the result: p(0) = 7(0)² = 0, and for a polynomial this equals its constant term.
Frequently asked questions
What is the correct answer to this question?
0
Why is this the correct answer?
A constant term is a term independent of the variable x; equivalently, it is the coefficient of x⁰. The polynomial p(x) = 7x² contains only the term 7x², whose degree is 2. There is no separately written term without x, so we may write the polynomial as 7x² + 0. Hence its constant term is 0. The number 7 is the coefficient of x², not the constant term, and 2 is the exponent of x rather than a term. The value 1 has no role here. Substituting x = 0 also confirms the result: p(0) = 7(0)² = 0, and for a polynomial this equals its constant term.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Polynomials in one variable.
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