Answer
$(-2,-28),(1,26),(2,68),(5,770)$
Work Step by Step
1. Set up the equation $x^4-6x^3+x^2+24x-20=0$
2. List possible rational real zeros $\pm1,\pm2,\pm4,\pm5,\pm10,\pm20$
3. Use synthetic division to test a few values and we can find two zeros $1,2$
4. The equation becomes $(x-1)(x-2)(x^2-3x-10)=(x-1)(x-2)((x-5)(x+2)=0$
5. The four zeros are $x=-2,1,2,5$ and the coordinates can be found as
$(-2,-28),(1,26),(2,68),(5,770)$
