x^4 - 2x^3 - 103x^2 + 200x + 300
Write -103x^2 as -3x^2 - 100x^2
So we have
x^4 - 2x^3 - 3x^2 - 100x^2 + 200x + 300
x^2 (x^2 - 2x - 3) - 100 (x^2 - 2x - 3) take out the common factor
(x^2 - 2x - 3) (x^2 - 100)
(x - 3) ( x + 1) (x + 10) (x - 10)
Note that the zeroes are x = 3 , -1, -10, 10