Can anyone kindly help me with the following please?
The roots of the equation x2 + 3x − 2 = 0 are α and β. Form a new equation with roots:
(a) α - 1 and β + 2
(b) α +2 and β + 1
The sum of the new roots is easy but I am finding the product of the new roots difficult.
Thanks in advance.
Thanks for your reply. However, the teacher told us that we have to find the new quadratic equation without solving the previous; in the sense that we are required to make use of the sum of roots and product of roots of the original equation.