SV#1: Unit F Concept 10: Finding all zeroes to a polynomial

This problem is about finding all zeroes to a given polynomial with a 4th or 5th degree. We use the Rational Roots Theorem and the Descartes Rule of Signs to help us figure out the steps toward finding our zeroes. We then use synthetic division to find zero heroes and simplify our polynomial. Once we have simplified to a quadratic we complete the square, use the quadratic formula or factor to find all the zeroes.

The viewer needs to pay special attention to when it is appropriate to use a new home row. They also need to make sure that they factor correctly at the end to find the remaining zeroes. Also pay attention to the possible p/q's and make sure it makes sense what values to use based on what the Descartes Rule of Signs says.