Approximately factor the polynomial x^5 + 2x^4 + 3r^3 + 4.x² + 5x + 6

Using ε = 10^-5 and the Approximate Factor routine.

Take a close look at each of the five linear factors. They should approxi- mately correspond to one real root, a pair of complex conjugate roots, and a second pair of complex conjugate roots.

a. Multiply together the two linear factors corresponding to the first conjugate conjugate root pair, round off the product using the RoundPolynomial routine, and call the result P.
b. Multiply together the two linear factors corresponding to the second com- plex conjugate root pair, round off the product using the RoundPolynomial routine, and call the result Q.
c. Round off the last linear factor and call it R.
d. Expand the product PQR using the Expand routine.