\(2x^3-12x^2+17x-2\)
\(=2x^3-4x^2-8x^2+16x+x-2\)
\(=2x^2\left(x-2\right)-8x\left(x-2\right)+\left(x-2\right)\)
\(=\left(2x^2-8x+1\right)\left(x-2\right)\)
\(2x^3-12x^2+17x-2\)
\(=2x^3-8x^2-4x^2+x+16x-2\)
\(=\left(2x^3-8x^2+x\right)-\left(4x^2-16x+2\right)\)
\(=x\left(2x^2-8x+1\right)-2\left(2x^2-8x+1\right)\)
\(=\left(2x^2-8x+1\right)\left(x-2\right)\)
2x3-12x2+17x-2
=2x3 - 4x2 - 8x2 + 16x +x-2
=2x2.(x-2 ) - 8x.(x-2) +(x-2)
=(x-2)(2x2 -8x +1)
2x3-12x2+17x-2
=2x3-4x2-8x2+16x+x-2
=(2x3-4x2)-(8x2-16x)+(x-2)
=2x2(x-2)-8x(x-2)+(x-2)
=(x-2)(2x2-8x+1)
