Question

Find the missing term: (2x + ___) + (3x^2 - 4x + 3) = 3x^2 - 2x - 8

A) -7
B) -5
C) 7
D) 5

Answer 1

D) 5 the missing term must be 5x (2x + 5x = 3x). Hence, the missing term in the equation is 5.

Explanation:

To find the missing term in the equation
`(2x + ___) + (3x^2 - 4x + 3) = 3x^2 - 2x - 8,`we'll need to combine like terms on both sides of the equation. By comparing coefficients of similar terms, we can determine the missing term. The equation contains terms with x, x², and constants. After combining like terms, we see that the x term on the left side is 2x, and the x term on the right side is -2x. To equate these, the missing term must be 5x (2x + 5x = 3x). Hence, the missing term in the equation is 5.

Therefore, the missing term to complete the equation is 5 (Option D).

This solution aligns by analyzing the x terms on both sides of the equation. Upon combining like terms, it's evident that the missing term should be 5 to maintain the balance between the x terms on either side of the equation. Hence, by substituting 5 in place of the missing term, the equation holds true.