What is the coefficient of x in the term 4x²y - 2x + 3?

• A. -2
• B. 4
• C. 3
• D. 0

Answer: (A)

To find the coefficient of ( x ) in the expression ( 4x²y - 2x + 3 ), you need to identify the term that contains ( x ). In this expression, the term ( -2x ) clearly has ( x ) in it. The coefficient of a term is the numerical factor that multiplies the variable, which in the case of ( -2x ) is ( -2 ). Therefore, the coefficient of ( x ) is indeed ( -2 ).

The other terms in the expression do not contain ( x ) and thus do not contribute to the coefficient of ( x ). The term ( 4x²y ) has a coefficient of ( 4 ), but it involves ( x² ), not ( x ). The constant term ( 3 ) does not involve ( x ) at all, so it does not affect the coefficient. Hence, identifying the relevant term is key to determining the correct coefficient.