Finding the roots of a 4th degree polynomial. Reddit precalculus r/HomeworkHelp

Learn how to find all the real and complex solutions to this quartic (i.e. 4th degree) polynomial equation 2z^4-3z^3+2z^2=6z+4. We will first have to use the rational zero theorem to find an easy solution, and then we will have to use either polynomial long division or synthetic division to factor the polynomial. This is not an easy equation especially if you are learning this for the first time, usually in a precalculus class or an algebra 2 class. This problem is from Reddit r/Homeworkhelp. See the original post here: https://www.reddit.com/r/HomeworkHelp/s/zi3o69oZWf 0:00 Where do you even start with something like this? 2:43 The video is out synced 3:43 The video is normal again! : ) yay! Shop my math t-shirts & hoodies on Amazon: 👉 https://amzn.to/3qBeuw6 ----------------------------- I help students master the basics of math. You can show your support and help me create even better content by becoming a patron on Patreon 👉 https://www.patreon.com/blackpenredpen. Every bit of support means the world to me and motivates me to keep bringing you the best math lessons out there! Thank you! ----------------------------- #math #algebra #mathbasics #precalculus