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.

Three friends went on a road trip from phoenix, az, to san diego, ca. mark drove 50 percent of the distance. jason drove 1/8 of the distance. andy drove the remainder of the distance. 1. andy thinks he drove 1/4 of the distance from phoenix, az, to san diego, ca. is andy correct? 2. the distance from phoenix, az, to san diego, ca, is 360 miles. how many miles did each person drive? 3. solve the problem. what is the answer in total?