\(x^4-32x^2-16x+255=x^4+5x^3-7x^2-51x-5x^3-25x^2+35x+255\)
\(=\left(x^4+5x^3-7x^2-51x\right)-\left(5x^3+25x^2-35x-255\right)\)
\(=x\left(x^3+5x^2-7x-51\right)-5\left(x^3+5x^2-7x-51\right)\)
\(=\left(x^3+5x^2-7x-51\right)\left(x-5\right)\)
\(=\left[\left(x^3+8x^2+17x\right)-\left(3x^2-24x-51\right)\right]\left(x-5\right)\)
\(=\left[x\left(x^2+8x+17\right)-3\left(x^2+8x+17\right)\right]\left(x-5\right)\)
\(=\left(x^2+8x+17\right)\left(x-3\right)\left(x-5\right)\)
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