Determine the missing coefficient in the area expression.

Answer:A rectangle has a length of

(3x - 4)

units and a width of

(x + 6)

units. The area of the rectangle can be represented by the expanded polynomial

3x^2 + 【14】x - 24

square units.

The area of the rectangle is calculated by multiplying its length and width:

(3x - 4)(x + 6)

. Distributing the terms, the outer product is

18x

and the inner product is

-4x

. Combining these like terms (

18x - 4x

) results in

14x

. Therefore, the missing coefficient for the

x

term is 14.

Set up the multiplication for the area of the rectangle.

(3x - 4)(x + 6)

The area of a rectangle is found by multiplying its length and its width.

Multiply the binomials using the distributive property.

3x^2 + 18x - 4x - 24

Each term in the first binomial must be multiplied by each term in the second binomial.

Combine the like terms containing the

x

variable.

18x - 4x = 14x

Simplifying the expression requires combining terms that share the same variable and exponent.

Multiplying binomials and combining like terms

Question