What is the numerical coefficient in 9x²y?
Answer and explanation
Correct answer: 9
The governing concept is that the numerical coefficient is the number multiplying the variable part of a term. In 9x²y, the variable part is x²y and the number attached to it is 9, so the numerical coefficient is 9. Option A is the variable part, not a number. Option C is the exponent on x, not the coefficient of the whole term. Option D is only part of the original term and still contains a variable, so it cannot be the numerical coefficient. Therefore option B is correct. Separating the numerical factor from the literal factor avoids confusing an exponent with a coefficient.
Frequently asked questions
What is the correct answer to this question?
9
Why is this the correct answer?
The governing concept is that the numerical coefficient is the number multiplying the variable part of a term. In 9x²y, the variable part is x²y and the number attached to it is 9, so the numerical coefficient is 9. Option A is the variable part, not a number. Option C is the exponent on x, not the coefficient of the whole term. Option D is only part of the original term and still contains a variable, so it cannot be the numerical coefficient. Therefore option B is correct. Separating the numerical factor from the literal factor avoids confusing an exponent with a coefficient.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Algebraic expressions.
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