12. One of the factors of the polynomial 2x^3-5x^2+6x-15 is 2x-5 Which of the following expressions is the other factor of the given polynomial? 2x^2-3 x(3-x) 3-2x^2 x^2+3

To find the other factor of the polynomial , we can use polynomial division or synthetic division.Let's use synthetic division to divide the polynomial by the factor .Step 1: Write down the coefficients of the polynomial: 2, -5, 6, -15.Step 2: Write down the zero of the factor , which is .Step 3: Perform synthetic division:``` 2 -5 6 -15 5/2 2 0 3 0```Step 4: The quotient is .Therefore, the other factor of the given polynomial is .So, the correct answer is .