A sphere has a radius of 2x + 5. Which polynomial in standard form best describes the total surface area of the sphere? Use the formula S=4 pi^2 for the surface area of a sphere.
The formula for the surface area of a sphere is S=4πr^2.
Given that the radius of the sphere is 2x + 5, we can substitute this value into the formula to find the surface area:
S = 4π(2x + 5)^2
= 4π(4x^2 + 20x + 25)
= 16πx^2 + 80πx + 100π
Therefore, the polynomial in standard form that best describes the total surface area of the sphere is 16πx^2 + 80πx + 100π.