SV#1 Unit: F Concept: 10: Given polynomial of 4th or 5th degree, find all zeroes (real of complex zeroes)

This video demonstrates an example problem on finding zeroes of a polynomial of 4th degree. We list out all possible real/rational zeroes (p's and q's). Then we use Descarte's Rule of Signs to find out how many possible positive and negative real zeroes there will be. We use the Factor Theorem and start trying to find remainders of zero (zero heroes) using a number from the p/q list. Continue to find zero heroes until your reduce your polynomial to a quadratic. Once you have a quadratic, factor it using the quadratic formula.

Remember to take out a GCF from your quadratic before using the values inside the parenthesis into your quadratic equation. Break down your square root (if you can) and in your remaining factors you should distribute the GCF if there are any fractions.