Which option has coefficient of x equal to 4 and constant term −1?
Answer and explanation
Correct answer: 4x − 1
A linear expression in x can be written as ax + b. In this form, a is the coefficient of x and b is the constant term, meaning the term that contains no x. We need a = 4 and b = −1 simultaneously. Option A is 4x − 1, so the coefficient of x is 4 and the constant term is −1; it satisfies both conditions. Option B has coefficient 4 but constant term +1. Option C has the required constant term but its coefficient is −4, not 4. Option D has coefficient 1 and constant term −4. Therefore option A is the only expression that meets both requirements. The signs and the term without x must both be checked, not just the coefficient.
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What is the correct answer to this question?
4x − 1
Why is this the correct answer?
A linear expression in x can be written as ax + b. In this form, a is the coefficient of x and b is the constant term, meaning the term that contains no x. We need a = 4 and b = −1 simultaneously. Option A is 4x − 1, so the coefficient of x is 4 and the constant term is −1; it satisfies both conditions. Option B has coefficient 4 but constant term +1. Option C has the required constant term but its coefficient is −4, not 4. Option D has coefficient 1 and constant term −4. Therefore option A is the only expression that meets both requirements. The signs and the term without x must both be checked, not just the coefficient.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear polynomials.
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