video1.0<iframe src="https://www.loom.com/embed/746e7112e3834b69a13cbd611ea05ebf" frameborder="0" width="1838" height="1378" webkitallowfullscreen mozallowfullscreen allowfullscreen></iframe>13781838Loomhttps://www.loom.com13781838https://cdn.loom.com/sessions/thumbnails/746e7112e3834b69a13cbd611ea05ebf-fb58310cf4070dd4.gif2642.412I go through several short algebra questions using roots of polynomials and symmetric sums. For the first cubic, I use that singles sum to minus b over a, pairs sum to C over A, and the triple sum to minus D over A, then compute quantities like p plus 2 over q plus 2 over r, and p minus 4 times q minus 4 times r minus 4, and p cubed plus q cubed plus r cubed. I then solve for p and q in another cubic from given root sums and products, and evaluate an expression in a later part. I also factor a quartic using a complex root pair, z equals 3 plus or minus 2i, to get factors z squared minus 6z plus 13, and z squared plus 2z plus 5. There was no action requested from viewers.