Use synthetic division to show that x is a solution of the thirddegree polynomial equation, and use the result to factor the polynomial completely. List all the real zeros of the function.
x^3  28x  48 = 0 x=2
I have no idea how to start this problem!!
1 answer

You can check to see that x=2 checks.
8+5648 does indeed equal zero, so x+2 is a factor.
Now divide x+2 into the polynomial (you are asked to use synthetic division) to get the remaining quadratic. Once you have that, you can factor to get the other two roots.