A sphere has a radius of 3x + 2. Which polynomial in standard form best describes the total surface area of the sphere??
The total surface area of a sphere is given by the formula A = 4πr^2, where r is the radius of the sphere. In this case, the radius of the sphere is 3x + 2.
So, the total surface area of the sphere can be expressed as:
A = 4π(3x + 2)^2
A = 4π(9x^2 + 12x + 4)
A = 36πx^2 + 48πx + 16π
Therefore, the polynomial in standard form that best describes the total surface area of the sphere is:
36πx^2 + 48πx + 16π