Question

Divide the first polynomial by the second...
2x^3-6x^2+5x-2, x-2

Answer 1

well first check if it is a factor

sub x = 2 into first we get 0

so we can just factorise out x -2

\[2x^3 - 6x^2 + 5x -2= (x-2)(2x^2 - 2x + 1)\]

Answer 2

so dividing we just get

2x^2 - 2x +1