Question

An architect is designing a house on an empty plot. The area of the plot can be modeled by the polynomial 5x4+9x2−4x, and the area of the house's base can be modeled by 2x3−4x−50. The rest of the plot is the yard. What's the yard's area?

Answer 1

The area of the yard is;

5x^4 -2x^3+9x^2+50

Explanation:

Here, we want to calculate the area of the yard

Mathematically, this can be calculated as the difference between the area of the plot and the base area of the house

So, we simply proceed to calculate a subtraction here;

Thus, we have this as;

5x^4 + 9x^2-4x -(2x^3-4x-50)

= 5x^4 + 9x^2-2x^3+ 50

Rearranging this, we have;

5x^4 -2x^3+9x^2+50