The given polynomial is
[tex]3x^2-2x+5[/tex]To know if the factor x-1 is a zero of the polynomial, we just have to replace x = 1 in the expression. If we get zero, then z-1 is a solution.
[tex]3(1)^2-2(1)+5=3\cdot1-2+5=3-2+5=1+5=6[/tex]Since x = 1 didn't result in zero, we can deduct that x-1 is not a solution to the given expression.
