Question

Alfred owns land that has an area of x²-25. His neighbor Grace is selling him the land she owns so he can combine them into one big property. Her land has an area of x²+3x+2. PART A-4pts Factor the expressions that represent Alfred's land and Grace's land to find the Dimensions of each property.

Answer 1

Explanation:

Area of Alfred's land = (x²- 25)

Factors of given expression = (x - 5)(x + 5)

Therefore, Alfred's land will have the dimensions (x - 5) and (x + 5).

Area of his neighbor's land = x² + 3x + 2

Factors of the given expression = x² + 2x + x + 2

= x(x + 2) + 1(x + 2)

= (x + 1)(x + 2)

Therefore, dimensions of Grace land will be (x + 1) and (x + 2).