X^1.5 +4x^.75 +5

you can write this (x^0.75)^2+4 x^(0.75)+5

This can be written as (x^0.75)^2+4 x^(0.75)+4+1= (X^(0.75)+2)^2+1

This cannot be factored further. had it been -5

(x^0.75)^2+5x^(0.75)-x^(0.75)-5= x^(0.75)(x^(0.75)+5)-1(X^(0.75)+5)

=(x^(0.75)-1)(x^(0.75+5)

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