Question 252453
Real answers will occur when the curve crosses over or touches the X-axis. If you put a quick sketch together, you will quickly see it never crosses the X-axis. The lowest pint is at (0,6). Since the leading coefficient is positive and the degree is 4, we know it will open up on the left and right; end behavior is positive. Since it never reaches the X-axis there are no real solution and you cannot factor this over the reals. 
ANSWER: no solution for factoring over the reals.