A sphere has a radius of 7x + 7. Which polynomial in standard form best describes the
total surface area of the sphere? Use the formula S = 4Пr^2 for the surface area of a
sphere.
The total surface area of the sphere can be given as S = 4π(7x + 7)^2
Expanding this expression, we get:
S = 4π(49x^2 + 98x + 49)
S = 4π(49x^2) + 4π(98x) + 4π(49)
S = 196πx^2 + 392πx + 196π
Therefore, the polynomial in standard form that best describes the total surface area of the sphere is:
196πx^2 + 392πx + 196π