Given the expansion of (x ^ 2 + ax-b) (2x ^ 2-3x + 1), the coefficient of term x ^ 3 is 5, and the coefficient of term x ^ 2 is - 6. Find the value of a and B

Given the expansion of (x ^ 2 + ax-b) (2x ^ 2-3x + 1), the coefficient of term x ^ 3 is 5, and the coefficient of term x ^ 2 is - 6. Find the value of a and B


The coefficient of x ^ 3 is 5
Therefore, 2a-3 = 5, thus a = 4;
The coefficient of x ^ 2 is - 6
Therefore, 1-3a-2b = - 6, thus B = - 5 / 2