How many terms with zero coefficient are explicitly written in 4x² + 0x + 9?
Answer and explanation
Correct answer: 1
A term is counted separately when it is written as an algebraic part of the polynomial. In 4x² + 0x + 9, the middle term 0x is explicitly present, and its coefficient is 0. Therefore exactly one written term has a zero coefficient. The term 4x² has coefficient 4, and the constant term 9 has coefficient 9, so neither qualifies. Although 0x contributes nothing to the numerical value and the expression can be simplified to 4x² + 9, the question asks what is explicitly written before simplification. Thus the correct count is 1. The answer is not 0 because 0x is visible, and it is not 2 or 3 because the other written terms have non-zero coefficients.
Frequently asked questions
What is the correct answer to this question?
1
Why is this the correct answer?
A term is counted separately when it is written as an algebraic part of the polynomial. In 4x² + 0x + 9, the middle term 0x is explicitly present, and its coefficient is 0. Therefore exactly one written term has a zero coefficient. The term 4x² has coefficient 4, and the constant term 9 has coefficient 9, so neither qualifies. Although 0x contributes nothing to the numerical value and the expression can be simplified to 4x² + 9, the question asks what is explicitly written before simplification. Thus the correct count is 1. The answer is not 0 because 0x is visible, and it is not 2 or 3 because the other written terms have non-zero coefficients.
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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