Solving a harder 4th degree polynomial equation (rational zero theorem, synthetic, & long division)

Let's see how to solve this 4th degree polynomial equation 2x^4-x^3-7x^2+x+2=0. We will need to use the rational zero theorem (aka rational root theorem), synthetic division, and long division for polynomials.
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Check out the following related videos for more practice:
How to solve a 4th-degree polynomial equation by factoring: https://youtu.be/ZTBL8B8__hI
More long division of polynomials examples: https://youtu.be/Vn_7FaoGsvI
More synthetic division of polynomials examples: https://youtu.be/t_bKmitZLlI
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