Factor: x2 + 25

Use the Binomial Theorem and Pascal’s triangle to expand (x + 2)4.

Given the function, f(x) = x3 – 5x2 + 9x – 45, determine the number of roots and identify them.

Explain the closure property as it relates to rational expressions. Give an example and simplify it to prove closure.

The cross-sectional areas of a right triangular prism and a right cylinder are congruent. the right triangular prism has a height of 6 units, and the right cylinder has a height of 6 units. which conclusion can be made from the given information? the volume of the triangular prism is half the volume of the cylinder. the volume of the triangular prism is twice the volume of the cylinder. the volume of the triangular prism is equal to the volume of the cylinder. the volume of the triangular prism is not equal to the volume of the cylinder.