solve 10x^4-11x^2+3=0

You know it's going to be

(10x-?)(x-?)
or
(5x-?)(2x-?)
because the middle term is negative, and the final term is positive

10 & 3 don't work because they're too far apart to make 11

so, try something else:
(5x-3)(2x-1)

ta-daaa