Factoring and dividing polynomials in Z (mod 5) [x]?

P(x) = quotient * (x-1) + remainder P(x) = (x^3 + x ^2 - x -1)*(x-1) - 2 -t^4 + 44t^3 - 612t^2 + 2592t = -t(t-8)(t-18)^2 a) x + 3(sqrt. X) + 2 = (sqrt(x) + 1)(sqrt(x) + 2) b) (3x-8)^2 + 6(3x-8) + 9 = ((3x-8) + 3)^2 = (3x - 5)^2 c) 2x^(1/2) - 2x^(1/4) - 12 = 2(x^(1/2) - x^(1/4) - 6) = 2( x^(1/4) - 3)(x^(1/4) + 2 ).

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