This problem is about graphing a fourth degree polynomial in standard form. Once, we factor out the equation we set the factors equal to zero and then we get our x-intercepts also known as zeroes. We needed to include the multiplicity of each zero.
Multiplicity is just how many times that order pair comes up in the graph and how you are going to approach that order pair(straight through, bounce off, or curve). Then, this problem called for the y-intercept, which is found by plugging x=0 to every x in the original equation. Lastly, to find the end behavior you look if the leading coefficient is positive or negative and look if the biggest degree is even or odd.